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At time t = 1 min the car is traveling at a velocity of 20 meters per second, and at time t = 2 min the car reaches a velocity of 40 meters per second. Which statement best describes the car’s motion during this time interval?
  • a)
    The car’s average acceleration is 0.33 m/s2
  • b)
    The car’s average speed is the same as the car’s average velocity.
  • c)
    The car’s average velocity is 30 m/s, assuming a straight path of travel.
  • d)
    The car’s velocity never drops below 20 m/s and never surpasses 40 m/s.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
At time t = 1 min the car is traveling at a velocity of 20 meters per ...
Average velocity is change in displacement over time, but if the car were traveling at a constant acceleration then the average velocity would be 30 m/s.
Average speed is distance over time. If we were to assume travel in a straight line in one direction only, then they would be the same.
The instantaneous velocity at 1 minute is 20 m/s and at 2 minutes is 40 m/s. In the time interval, velocity could take on any value, positive or negative.
The average acceleration is change in velocity over time. 20 m/s divided by 60 sec is equal to 0.33 m/s2 squared.
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The branch of physics that studies the motion of a body without taking into account the causes of that motion is called kinematics. According to kinematics, the position and velocity of a moving body is described by the following equations:Where Xoand Xfare the initial and final positions of the body, Voand Vfare the initial and final velocities of the body, ais the acceleration of the body, and tis the time.According to classical mechanics, developed by Isaac Newton, the product of the mass and the acceleration of a body can be described by the following equation (Newton’s second law):m⋅a = ΣFWhere mis the mass, ais the acceleration, and ΣFis the sum of all forces acting on the body.The following table shows the position at different times of a 80-kg hospital bed with a 40-kg patient on top of it that is being pushed from rest by a doctor on a rough floor that exerts a constant friction force of 600N.Q.What is the acceleration of the hospital bed in the attachment?

The branch of physics that studies the motion of a body without taking into account the causes of that motion is called kinematics. According to kinematics, the position and velocity of a moving body is described by the following equations:Where Xoand Xfare the initial and final positions of the body, Voand Vfare the initial and final velocities of the body, ais the acceleration of the body, and tis the time.According to classical mechanics, developed by Isaac Newton, the product of the mass and the acceleration of a body can be described by the following equation (Newton’s second law):m⋅a = ΣFWhere mis the mass, ais the acceleration, and ΣFis the sum of all forces acting on the body.The following table shows the position at different times of a 80-kg hospital bed with a 40-kg patient on top of it that is being pushed from rest by a doctor on a rough floor that exerts a constant friction force of 600N.Q.What is the force exerted by the doctor on the bed in the attachment?

The branch of physics that studies the motion of a body without taking into account the causes of that motion is called kinematics. According to kinematics, the position and velocity of a moving body is described by the following equations:Where Xoand Xfare the initial and final positions of the body, Voand Vfare the initial and final velocities of the body, ais the acceleration of the body, and tis the time.According to classical mechanics, developed by Isaac Newton, the product of the mass and the acceleration of a body can be described by the following equation (Newton’s second law):m⋅a = ΣFWhere mis the mass, ais the acceleration, and ΣFis the sum of all forces acting on the body.The following table shows the position at different times of a 80-kg hospital bed with a 40-kg patient on top of it that is being pushed from rest by a doctor on a rough floor that exerts a constant friction force of 600N.Q.In the attachment, what is the velocity of the hospital bed at t = 4s?

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At time t = 1 min the car is traveling at a velocity of 20 meters per second, and at time t = 2 min the car reaches a velocity of 40 meters per second. Which statement best describes the car’s motion during this time interval?a)The car’s average acceleration is 0.33 m/s2b)The car’s average speed is the same as the car’s average velocity.c)The car’s average velocity is 30 m/s, assuming a straight path of travel.d)The car’s velocity never drops below 20 m/s and never surpasses 40 m/s.Correct answer is option 'A'. Can you explain this answer?
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