Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics
At t = 0 , the velocity of a particle is zero. Which of the following statements are correct?
Options
- AThe acceleration may be zero at t = 0 .
- BIf the speed is zero from t = 0 to t = 10 s , then the acceleration is also zero during this interval.
- CIf the acceleration is zero from t = 0 to t = 10 s , then the speed is also zero during this interval.
- DThe acceleration must be zero at t = 0 .
Correct answer
C. If the acceleration is zero from t = 0 to t = 10 s , then the speed is also zero during this interval.
Step-by-step solution
At t = 0 , v = 0 . For the first statement, the acceleration may or may not be zero. For example, a particle at its highest point in vertical motion has v = 0 but a = g 0 . If a particle is permanently at rest, v = 0 and a = 0 . Thus, acceleration may be zero, making the first statement correct. For the second statement, if speed is zero from t = 0 to t = 10 s , the velocity is constant and equal to zero. Therefore, a = dv dt = 0 , making the second statement correct. For the third statement, if acceleration is zer