Question

A particle starts with a velocity of 100 cm/s and
moves with -2 cm/s2 acceleration along a straight
line. When its velocity be zero and how far will it
have gone?​

Answer 1

For time :

$u = 100 \: cm/s \\ v = 0 \\ a = - 2 \: cm/ {s}^{2} \\ \\ a \: = \frac{v - u}{t} \\ t = \frac{v - u}{a} \\ t = \frac{0 - 100}{ - 2} \\ t = \frac{ - 100}{ - 2} \\ t = 50 \: seconds$

For distance covered :

$s = ut + \frac{1}{2} a {t}^{2} \\ s = (100)(50) + \frac{1}{2} ( - 2)(50)(50) \\ s = 5000 + ( - 2500) \\ s = 2500 \: cm = 25 \: m$