Question

A particle covers 10m in first 5s and 10m in next 3s. Assuming constant accleration,find initial speed , acceleration and distance covered in next 2s.

Answer 1

Let assume initial velocity is u and constant acceleration a.

using    s=ut+.5 a t^2

For first 5 second

10=5 u +.5x a x 25..........(1)

for next 3 seconds t=8 and s=20

20=8 u+.5xax64...........(2)

Solving 1  and 2

a=1/3 and u=7/6

Now for next 2 seconds t=10 and s'

S'=10x7/6 +.5x(1/3) 100

S'=170/6

Now distance travelled in 2 sec=(170/6)-20=50/6 meter