A body moving with a constant acceleration travels the distance 3m and 8m respectively in 1s and 2s. Calculate (i) the initial velocity and (ii) the acceleration of the body.
Answer:
(i) 2 m/s
(ii) 2 m/s2
Use the formula
s = u * t + 0.5 * a * t2
For s = 3 t = 1
We get
3 = u + 0.5 * a -- (1)
For s = 8 and t = 2
We get
8 = 2 * u + 0.5 * a * 4 -- (2 )
Solving ( 1 ) and ( 2 ), we get u = 2 m/s and a = 2 m/s2