The Velocity of an Object Is Given By $v(t)$ , and the Acceleration Is Given By

Multiple Choice

The velocity of an object is given by $v(t)$ , and the acceleration is given by $a(t)$ .What is the relationship between the total change in v(t) over the interval 0 $\le$ t $\le$ 10 and a(t) ?

A) $\int_{0}^{10} v(t) d t=a(10) -a(0)$
B) $\int_{0}^{10} a(t) d t=v(10) -v(0)$
C) $\int_{0}^{10} t d t=\alpha(10) -v(10)$
D) $\int_{0}^{10} v(t) d t=\int_{0}^{10} a(t) d t$