Question

Find v(t) given the acceleration
a(t)=4i
and initial condition
v(0)=k.

Answer 1

$$Solution$$

$a(t)=4i\\ v(t)=\intop a(t)dt \implies \intop 4i\ dt\\ v(t)=4ti+C\\ But\\ v(0)=4(0)i+C\\ \therefore k=c\\ v(t)=4ti+k\\$