Falling with a parachute: When an average-size man with a parachute jumps from an airplane, he will fall S = XXXXXXXXXX2t − 1) + 20t feet in t seconds. a. Plot the graph of S versus t over at least...

Falling with a parachute: When an average-size man with a parachute jumps from an airplane, he will fall S = 12.5(0.2t − 1) + 20t feet in t seconds.

a. Plot the graph of S versus t over at least the first 10 seconds of the fall.

b. How far does the parachutist fall in 2 seconds?

c. Calculate dS dt at 2 seconds into the fall and explain what the number you calculated means in practical terms.