Question

A particle has a velocity u towards east at t = 0. Its acceleration is towards west and is constant. Let x_A and x_B be the magnitude of displacements in the first 10 seconds and the next 10 seconds
(a) x_A < x_B
(b) x_A = x_B
(c) x_A > x_B
(d) the information is insufficient to decide the relation of x_A with x_B.

Answer 1

(d) The information is insufficient to decide the relation of x_A with x_B.

As velocity and acceleration are in opposite directions, velocity will become zero after some time (t) and the particle will return.

$$\begin{gathered} \therefore 0=u-at \\ \Rightarrow t=\frac{u}{a} \end{gathered}$$
Because the value of acceleration is not given, we cannot say that the particle will return after/before 10 seconds.