Question

A body starts from rest and travels for t second with uniform acceleration of 2m/s².If the displacement made by it is 16m,the time of travel t is​

Answer 1

Answer:

s= ut + 1/2 at²

16= 0 + 1/2 × 2 ×t²

16= t²

thus t=4

time of travel is 4 seconds

Answer 2

Given:

A body starts from rest and travels for t second with uniform acceleration of 2m/s². Displacement made in t seconds is 16 m.

To find:

Value of t ?

Calculation:

• Since the question mentions that the body moves with the uniform acceleration, we can apply the equations of kinematics.

$d = ut + \dfrac{1}{2} a {t}^{2}$

$\implies \: 16 = 0(t) + \dfrac{1}{2} 2 {t}^{2}$

$\implies \: 16 = \dfrac{1}{2} 2 {t}^{2}$

$\implies \: {t}^{2} = 16$

$\implies \: t = \sqrt{16}$

$\implies \: t = 4 \: seconds$

So, value of time 't' is 4 seconds.