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Test: Relative Velocity


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10 Questions MCQ Test Physics for ACT | Test: Relative Velocity

Test: Relative Velocity for ACT 2023 is part of Physics for ACT preparation. The Test: Relative Velocity questions and answers have been prepared according to the ACT exam syllabus.The Test: Relative Velocity MCQs are made for ACT 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Relative Velocity below.
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Test: Relative Velocity - Question 1

What method is used to find relative value for any vector quantity?

Detailed Solution for Test: Relative Velocity - Question 1

To find the relative value of any quantity, vector difference is used. The relative value is defined as the subtraction of the remaining vector from the vector whose relative value is to be calculated with respect to the remaining vector.

Test: Relative Velocity - Question 2

A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?

Detailed Solution for Test: Relative Velocity - Question 2

The formula for relative velocity is, Vector VR = Vector VA – Vector VB. The velocity of A is greater in magnitude hence the relative velocity of A will be positive. The direction of the relative velocity will be Northwards.

Test: Relative Velocity - Question 3

A point A is placed at a distance of 7 m from the origin, another point B is placed at a distance of 10 m from the origin. What is the relative position of B with respect to A?

Detailed Solution for Test: Relative Velocity - Question 3

Relative displacement of B with respect to A = Displacement of B - Displacement of A. On solving we get, relative displacement = 3 m. Hence B is placed at a distance of 3 m from A.

Test: Relative Velocity - Question 4

A car is moving with 20m/s velocity, another car is moving with a velocity of 50 m/s. What is the relative velocity of first car with respect to the second?

Detailed Solution for Test: Relative Velocity - Question 4

The formula for relative velocity is VR = Vector VA – Vector VB. Assuming the cars move in the same direction, the relative velocity = 20 - 50 = -30 m/s. The relative velocity of the second with respect to the first car is 30 m/s.

Test: Relative Velocity - Question 5

The relative velocity of a body A with respect to a body B is 5 m/s. The absolute velocity of body B is 10 m/s. Both the bodies are moving in the same direction. What is the absolute velocity of body A?

Detailed Solution for Test: Relative Velocity - Question 5

Here we will use the formula for relative velocity, Vector VR = Vector VA – Vector VB. Since both the bodies are moving in the same direction, the velocity vectors are of the same sign. VR = 5, VB = 10, therefore, VA = 15m/s.

Test: Relative Velocity - Question 6

A small block is placed over another block which is moving with a velocity of 5m/s. What is the absolute velocity of the small block?

Detailed Solution for Test: Relative Velocity - Question 6

The absolute velocity of the small block is the same as that of the block moving with 5m/s. This is because absolute velocity is studied with respect to the ground frame. The relative velocity of the small block with respect to the other block is zero.

Test: Relative Velocity - Question 7

What does relative motion signify?

Detailed Solution for Test: Relative Velocity - Question 7

The three equations of motion are valid for uniformly accelerated motion. The equations do not work in situations where the acceleration is non-uniform. In that case it is better to work with the differential forms of velocity and acceleration.

Test: Relative Velocity - Question 8

An observer is sitting on a car moving with some constant velocity. The observer sees things around him, in the ____

Detailed Solution for Test: Relative Velocity - Question 8

The observer is not stationary with respect to ground. The observer is stationary with respect to the frame of the moving car, i.e., to the relative frame of reference. The observer will see everything around him/her with respect to the relative frame of reference.

Test: Relative Velocity - Question 9

A truck is moving with 40 m/s velocity, a train is moving with a velocity of 80 m/s. How fast is the rain moving with respect to the truck?

Detailed Solution for Test: Relative Velocity - Question 9

Here we need to find the relative velocity of the train with respect to the truck is VR = VA-VB, VB = 40, VA = 80. On solving we get, VR = 40 m/s. Hence the train will move faster by 40 m/s.

Test: Relative Velocity - Question 10

If two bodies are moving in opposite directions with non-zero velocities, which of the following statements is true?

Detailed Solution for Test: Relative Velocity - Question 10

The formula for relative velocity is, Vector VR = Vector VA – Vector VB. When both the velocities are opposite in direction, the equation becomes VR = VA – (-VB). Hence the magnitudes add up making the relative velocity greater than the absolute velocity of any of the two bodies.

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