Question

A particle has a velocity $u$ towards east at $t=0$. Its accelerations towards west and is constant. Let $x_A$ and $x_B$ be the magnitude of displacement 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

Answer: (D)

the information is insufficient to decide the relation of $x_A$ with $x_B$

the magnitude of displacement depends upon initial velocity, time duration, and acceleration. In this case, only time is known while magnitude of initial velocity and acceleration is unknown. These two displacements could only be comparable if direction of initial velocity and acceleration had been the same.since in this case directions are opposite, so there is not sufficient information.

Option D is correct.