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?

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


20