Question

A body moving with uniform acceleration describe 20 m in 2nd sec 30m in 4th sec then find distance cover by the body in 6th sec

Answer 1

Answer:

_______________________________

The formula of motion that distance covered in t th second is

s=u+a(2t−1)/2s=u+a(2t−1)/2

12 = u + a(2*2 - 1)/2

=> 12 = u + 3a/2

=> 2u + 3a = 24

and

20 = u + a(2*4 - 1)/2

20 = u + 7a/2

=> 2u + 7a = 40

From 1 and 2:

a = 4

u = 6

So the distance covered in 4s after 5th second = Distance covered in 9 seconds - distance covered in 5 seconds

= 6*9 + 1/2 * 4 * 9 * 9 - (6 * 5 + 1/2 * 4 * 5 * 5)

= 54 + 162 - (30 + 50)

= 136 m