A particle moves along the -axis so that its velocity and acceleration at seconds…
MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics
Problem
A particle moves along the x-axis so that its velocity and acceleration at t=5 seconds satisfy v(5)=0 and a(5)<0. Which of the following best describes the particle’s motion at t=5?
(a) The particle will remain at rest because the negative acceleration exactly cancels its velocity.
(b) The particle is momentarily at rest and is about to move in the positive x-direction because its velocity will increase.
(c) The particle is momentarily at rest and is about to move in the negative x-direction because its velocity will decrease.
(d) The particle is moving in the negative x-direction and slowing down.