A particle has a velocity u towards east at t = 0. Its accelerati… - Vidyadip

MCQ

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
$x_A > x_B$
✓
The information is insufficient to decide the relation of $x_A$ with $x_B$.

✓

Answer

Correct option: 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.
$\therefore0=\text{u}-\text{at}$
$\Rightarrow\text{t}=\frac{\text{u}}{\text{a}}$
Because the value of acceleration is not given, we cannot say that the particle will return after/ before $10$ seconds.

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