Question

A body moving with a constant acceleration travels the distance 3m and 8m respectively in 1s and 2s.Calculate the initial velocity and acceleration of the body​

Answer 1

Using, s=ut+ 1/2 at²

S1 = u + 1/2a

or, 3 = u + a/2

∴a = 6 - 2u

S2 = 2u + 1/2a × 4

8 = 2u + 2a

Solving the equations,

8 = 2u+2(6−2u)

8 = 2u+12−4u  

2u = 4  

u = 2m/s

∴a = 6−2u

    = 6−4

    = 2ms^-2

 

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