Question

The displacement $x$ of a particle moving in one dimension, under the action of a constant force is related to time $t$ by the equation $t=\sqrt{x}+3$ where x is in metre and t in second. Calculate the displacement of the particle when its velocity is $zero$.

Answer 1

Velocity will be zero when $2(t-3)=0$

i.e., $t=3$

Substituting this value of $t$ in Eq. (i),

$x={(3-3)}^2=0$

i.e., when velocity is zero, displacement is also zero.