Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4

Answer 1

a(t) = 2t + sin(t)
v(t) = t^2 - cos(t) + c
given v(0) = 4
4 = 0 - cos 0 + c
4 = -1 + c
c = 5

v(t) = t^2 - cos t + 5