A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)andicirc; andndash; 3b)3andicirc; andndash; c)andicirc; + 3d)3andicirc; + Correct answer is option 'A'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

ACT Exam > ACT Questions > A car moves 25 units in the positive X direct...

A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?

a)
î – 3ĵ
b)
3î – ĵ
c)
î + 3ĵ
d)
3î + ĵ

Correct answer is option 'A'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

A car moves 25 units in the positive X direction and 75 units in negat...

The initial position of the car is at the origin and the final position is 25î – 75ĵ. Hence the displacement is 25î – 75ĵ. The total time taken is 25 s. Hence, the velocity = change in position/time = î – 3ĵ.

View all questions of this test

Most Upvoted Answer

A car moves 25 units in the positive X direction and 75 units in negat...

Understanding the Car's Motion
The car starts from the origin (0,0) and moves in two directions over a period of time.
Displacement Calculation
- Positive X Direction: The car moves 25 units in the positive X direction.
- Negative Y Direction: The car moves 75 units in the negative Y direction.
- Total Displacement Vector: The displacement can be represented as:
- Displacement = (25, -75)
Time Taken
- The total time for this movement is 25 seconds.
Velocity Vector Calculation
- Velocity Formula: Velocity is defined as the displacement divided by the time taken.
- Displacement Vector: (25, -75)
- Time: 25 seconds
Calculating the components of the velocity vector:
- Velocity in X direction: 25 units / 25 seconds = 1 unit/s
- Velocity in Y direction: -75 units / 25 seconds = -3 units/s
Thus, the velocity vector is:
- Velocity Vector: (1, -3)
Vector Representation
- In vector notation, the velocity vector can be represented as:
- i + (-3)j, or simply:
- 1i - 3j
Matching with Options
Now, we need to compare this with the given options:
- a) i - 3
- b) 3i -
- c) i + 3
- d) 3i +
The closest match to our calculated velocity vector (1i - 3j) is option 'A' (i - 3).
Conclusion
- Therefore, the correct answer is option 'A': i - 3.

Answered by Orion Classes · View profile

View all answers Start learning for free

Explore Courses for ACT exam

Similar ACT Doubts

Velocity of a man is 25 units in the positive X direction and 75 units in negative Y direction starting from the origin. Velocity of a woman is 25 units in the positive Y direction and 75 units in the negative X direction starting from the origin. What is the relative velocity of the man with respect to the woman?

View answer

Velocity of a dog is 15 units in the positive X direction and 3 units in positive Y direction starting from the origin. Velocity of a pig is 7 units in the positive Y direction and 17 units in the positive X direction starting from the origin. What is the relative velocity of the dog with respect to the pig?

View answer

Magnets and electric charges show certain similarities. For example, both magnets and electric charges can exert a force on their surroundings. This force, when produced by a magnet, is called a magnetic field. When it is produced by an electric charge, the force is called an electric field. It has been observed that the strength of both magnetic fields and electric fields is inversely proportional to the square of the distance between a magnet or an electric charge and the objects that they affect.Below, three scientists debate the relationship between electricity and magnetism.Scientist 1:Electricity and magnetism are two different phenomena. Materials such as iron, cobalt, and nickel contain magnetic domains: tiny regions of magnetism, each with two poles. Normally, the domains have a random orientation and are not aligned, so the magnetism of some domains cancels out that of other domains; however, in magnets, domains line up in the same direction, creating the two poles of the magnet and causing magnetic behavior.In contrast, electricity is a moving electric charge which is caused by the flow of electrons through a material. Electrons flow through a material from a region of higher potential (more negative charg e) to a region of lower potential (more positive charge). We can measure this flow of electrons as current, which refers to the amount of charge transferred over a period of time.Scientist 2:Electricity and magnetism are similar phenomena; however, one cannot be reduced to the other. Electricity involves two types of charges: positive and negative charge. Though electricity can occur in a moving form (in the form of current, or an electric charge moving through a wire), it can also occur in a static form. Static electricity involves no moving charge. Instead, objects can have a net excess of positive charge or a net excess of negative charge—because of having lost or gained electrons, respectively. When two static positive electric charges or two static negative electric charges are brought close together, they repel each other. However, when a positive and a negative static charge are brought together, they attract each other.Similarly, all magnets have two poles. Magnetic poles that are alike repel each other, while dissimilar magnetic poles attract each other. Magnets and static electric charges are alike in that they both show attraction and repulsion in similar circumstances. However, while isolated static electric charges occur in nature, there are no single, isolated magnetic poles. All magnets have two poles, which cannot be dissociated from each other.Scientist 3:Electricity and magnetism are two aspects of the same phenomenon. A moving flow of electrons creates a magnetic field around it. Thus, wherever an electric current exists, a magnetic field will also exist. The magnetic field created by an electric current is perpendicular to the electric currents direction of flow.Additionally, a magnetic field can induce an electric current. This can happen when a wire is moved across a magnetic field, or when a magnetic field is moved near a conductive wire. Because magnetic fields can produce electric fields and electric fields can produce magnetic fields, we can understand electricity and magnetism as parts of one phenomenon: electromagnetism.Q. Which of the following would be an example of electricity according to Scientist 2, but not according to Scientist 1?

View answer

A physicist performs a series of experiments to determine the relative magnitude of electric charge on four particles. A given particle is considered to have a higher magnitude of charge than another if it will push out (or draw in) a positive test charge farther than the other particle.A particle that pushes the test charge has positive charge, while a particle that pulls (or draws in) the test charge has negative charge. This is known as the sign of the charge. Magnitude of charge is unrelated to sign.The experiment is conducted on a horizontal axis that measures from 20m in total: from –10m on the left to +10m on the right, with a measurement of 0m in the middle.Experiment 1Particle A is placed at position –5m on the horizontal axis. The test charge has a specific magnitude of charge and is located at +3m on that same axis. The result of the experiment is that the test charge is displaced to +7.5m.Experiment 2Particle B is placed at position –8m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at 0m on that same axis. The result of the experiment is that the test charge is displaced to –7.5m.Experiment 3Particle C is placed at position 0m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at +8m on that same axis. The result of the experiment is that the test charge is displaced to +10m.Experiment 4Particle D is placed at position –5.5m on the horizontal axis. The test charge has the same magnitude of charge as the previous experiment and is located at +2.5m on that same axis. The result of the experiment is that the test charge is displaced to +7.5m.Q. Which of the particles is negatively charged?

View answer

Magnets and electric charges show certain similarities. For example, both magnets and electric charges can exert a force on their surroundings. This force, when produced by a magnet, is called a magnetic field. When it is produced by an electric charge, the force is called an electric field. It has been observed that the strength of both magnetic fields and electric fields is inversely proportional to the square of the distance between a magnet or an electric charge and the objects that they affect.Below, three scientists debate the relationship between electricity and magnetism.Scientist 1:Electricity and magnetism are two different phenomena. Materials such as iron, cobalt, and nickel contain magnetic domains: tiny regions of magnetism, each with two poles. Normally, the domains have a random orientation and are not aligned, so the magnetism of some domains cancels out that of other domains; however, in magnets, domains line up in the same direction, creating the two poles of the magnet and causing magnetic behavior.In contrast, electricity is a moving electric charge which is caused by the flow of electrons through a material. Electrons flow through a material from a region of higher potential (more negative charg e) to a region of lower potential (more positive charge). We can measure this flow of electrons as current, which refers to the amount of charge transferred over a period of time.Scientist 2:Electricity and magnetism are similar phenomena; however, one cannot be reduced to the other. Electricity involves two types of charges: positive and negative charge. Though electricity can occur in a moving form (in the form of current, or an electric charge moving through a wire), it can also occur in a static form. Static electricity involves no moving charge. Instead, objects can have a net excess of positive charge or a net excess of negative charge—because of having lost or gained electrons, respectively. When two static positive electric charges or two static negative electric charges are brought close together, they repel each other. However, when a positive and a negative static charge are brought together, they attract each other.Similarly, all magnets have two poles. Magnetic poles that are alike repel each other, while dissimilar magnetic poles attract each other. Magnets and static electric charges are alike in that they both show attraction and repulsion in similar circumstances. However, while isolated static electric charges occur in nature, there are no single, isolated magnetic poles. All magnets have two poles, which cannot be dissociated from each other.Scientist 3:Electricity and magnetism are two aspects of the same phenomenon. A moving flow of electrons creates a magnetic field around it. Thus, wherever an electric current exists, a magnetic field will also exist. The magnetic field created by an electric current is perpendicular to the electric currents direction of flow.Additionally, a magnetic field can induce an electric current. This can happen when a wire is moved across a magnetic field, or when a magnetic field is moved near a conductive wire. Because magnetic fields can produce electric fields and electric fields can produce magnetic fields, we can understand electricity and magnetism as parts of one phenomenon: electromagnetism.Q. According to Scientist 2, which of the following would be an example of a static electric charge?

View answer

Top Courses for ACTView all

ACT Mock Test Series 2025

Biology for ACT

How to Prepare for ACT

Mathematics for ACT

Chemistry for ACT

Top Courses for ACT

View all

A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer?.

Solutions for A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.

Here you can find the meaning of A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?a)î – 3b)3î – c)î + 3d)3î + Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice ACT tests.

Explore Courses for ACT exam