Question

A body starting from rest moving with uniform acceleration has a displacement of 16 m in first 4 seconds and 9 m in first 3 seconds. the acceleration of the body is

• A. $1$ $m{s}^{-2}$
• B. $2$ $m{s}^{-2}$
• C. $3$ $m{s}^{-2}$
• D. $4$ $m{s}^{-2}$

Answer 1

Answer: (B)

$2$ $m{s}^{-2}$

Given,

$u=0m/s$

$s=16m$

$t=4sec$

From 2nd equation of motion,

$s=ut+\frac{1}{2}a{t}^2$

$16=0+\frac{1}{2}a\times 16$

$1=\frac{a}{2}$

$a=2m/s^2$

The correct option is B.