At , particles and occupy the same point on a straight track. Their velocities at…

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

At t=2 st=2\text{ s}, particles PP and QQ occupy the same point on a straight track. Their velocities at that instant are vP(2)=−3 m/sv_P(2)=-3\text{ m/s} and vQ(2)=5 m/sv_Q(2)=5\text{ m/s}. Which of the following statements best describes their positions for times immediately after t=2 st=2\text{ s}? (a) Particle QQ will be to the right of particle PP because it has the greater speed. (b) Particle PP will be to the left of particle QQ because it is moving in the negative direction. (c) Both particles will remain at the same position because they start together and no information about their accelerations is provided. (d) Particle QQ will be to the left of particle PP because a positive velocity indicates motion toward decreasing position values.

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