An object starting from rest travels 20 m in first 2 s and 160 m in next 4 s. What will be the velocity after 7 s from the start?

Question

Philoid · Accepted Answer

Let acceleration (a) of the body be ‘a’.

So, to find the acceleration of the body

S = ut + at² ..............(i)

Where u = 0, t = 2s and s = 20m

So, by putting the values in equation (i), we get,

S =u t + at²

20 = 0 +x a x(2)²

20 = x 4a

4 a = 20x2

a = 40/4

a = 10m/s

To find final velocity (v), we use

V= u + at

V=0 + 10x7

V = 70 m/s