Which of the following statements about an object that moves in two successive time…
PHYSICS · Single correct · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line
Problem
Which of the following statements about an object that moves in two successive time intervals, each with its own constant but different acceleration, is most consistent with the principles of kinematics?
(a) The object’s velocity may change discontinuously at the instant the acceleration changes, while its position remains continuous.
(b) Since acceleration is the derivative of velocity, it cannot change abruptly; both acceleration and velocity must be continuous.
(c) The object’s velocity is continuous at the instant the acceleration changes, but the acceleration may change abruptly.
(d) Because the acceleration is different in the two intervals, the object must momentarily come to rest at the transition.