a body is moving along +xaxis with uniform acceleration of-4ms2 its velocity at x=0 is 10ms-1 the time taken by the body to reach a point at x=12m is?

1 answer

d = Vo*t + 0.5*t^2.
12 = 10*t + 2t^2,
2t^2 + 10t - 12 = 0.
t^2 + 5t - 6 = 0.
(t-1)(t+6) = 0,
t-1 = 0, t = 1 s.
t+6 = 0, t = -6.
Solution: t = 1 s.