If an object's acceleration is a(t)=abs( vt-1)-5) and v(1)=5ft/sec, find v(4).

Question

How can this be solved? Thanks.

Answer 1

a(t) = integral of velocity = integral of v(t), increase powers by 1 and divide by that resulting number

but the integral also

includes an unknown constant with v(1) = 5, you can calculate that unknown constant