Question

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) = dv/dt so v(t) = int(2t+sint)

Answer 2

replace a(t) with dv/dt
and write

a= 2t+sin t as
dv/dt = 2t + sin t
dv = (2t +sin t ) dt

Answer 3

now integrate both sides

Answer 4

can you do the integration ?

Answer 5

Kind of lost on what you're doing

Answer 6

@jim_thompson5910