Mr. McWilliams is riding his bike down a straight path. For 0≤t≤15 seconds, the bike’s velocity v(t) , in meters per second, is modeled by the piecewise-linear function defined by the graph below. a. Find (""(t)dt.
b. Using correct units, explain the meaning of " v(t)dt.
c. For each of v' (3) and v (13), find the value or explain why it doesn't exist. Indicate units of measure.
d. Let alt) be the bike's acceleration at time t, in meters per second per second. For 05t515 write a
piecewise-defined function for alt).
e. Find the average rate of change of v over the interval 35159.
f. Does the Mean Value Theorem guarantee a value of c, for 3<<<9, such that v(e) is equal to this average
rate of change? Why or why not?