Find the velocity

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.

Question options:

1)	v(t) = t3 + sin(t) + 2
2)	v(t) = t3 - sin(t) + 3
3)	v(t) = 6t - sin(t) + 2
4)	v(t) = t3 - sin(t) + 2

Answer 1

#1 is the correct answer. To solve this problem, you will need to take the indefinite integral of the acceleration function, and then use the initial condition to solve for C.