Question

The particle starts from rest, its acceleration at any time is (t+3)m/s.Find the distance travelled in 4 seconds.

Answer 1

Answer:

a = d^2 s / dt^2 = t + 3

v = ds / dt = t^2 / 2 + 3 t + C1

since v = 0 at t = 0    C1 = 0

s = t^3 / 6 + 3 t^2 / 2 + C2      C2 = 0 since s = 0 at t = 0

s = 4^3 / 6 + 3 * 4^2 / 2 = 34.7 m