Find the velocity, v(t), for an object moving along the x-axis if the acceleration

Question

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 3t² + cos(t) and v(0) = 2.

 v(t) = t³ + sin(t) + 2 

v(t) = t³ − sin(t) + 3 

v(t) = 6t − sin(t) + 2 

v(t) = t³ − sin(t) + 2

Answer 1

v(t) = ∫(3t² + cost)dt = t³ + sint + C; v(0) = C = 2; C = 2; v(t) = t³ + sint + 2