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The velocity of a (fast) automobile on a straight highway is given by the function tothe right, where t is measured in seconds and v has units of m/s. (t)=\left\{\begin{array}{ll}

3 t & \text { if } 0 \leq t<20 \\

60 & \text { if } 20 \leq t<45 \\

240-4 t & t \geq 45

\end{array}\right. a. Graph the velocity function for 0≤t≤ 100. When is the velocity a maximum? When is the velocity zero? b. What is the distance traveled by the automobile in the first 30 s? c. What is the distance traveled by the automobile in the first 60 s? d. What is the position of the automobile when t = 80? a. Graph the velocity function for 0 st≤ 100. Choose the correct graph below.

When is the velocity a maximum?

When is the velocity zero?

b. The distance traveled by the automobile in the first 30 s is c. The distance traveled by the automobile in the first 60 s is d. The position of the automobile when t = 80 ism in the positive direction from s(0).

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