Answer
a) $v=4 m/s$
b) $t= 2$ seconds
c) The graph of the function is concave up.
Work Step by Step
(a) The initial velocity is the velocity when $t=0$. So $V(0)=0^2-4 \cdot 0+4=4$ meters per second.
(b) The object is not moving when its velocity is zero. This time is found by factoring $t^2-4 t+4=(t-2)^2=0$. This gives, $t=2$, the object is not moving at 2 seconds.
c) The graph of the function is concave up.
