• max-min problems
• curve sketching
• related rates
• velocity and acceleration
• exponential growth and decay
• marginal profit
• other

Simple applications of the derivative: velocity and acceleration

	Ball is thrown upward 10 m/s initial velocity; how high does it go? © Dorothy Wallace
	Deriving s(t) = 16t2 + v0t + s0 © Dorothy Wallace
	How long does it take Wile E. Coyote to fall off a 100-ft cliff? © Dorothy Wallace
	If Wile E. Coyote takes 20 seconds to reach the ground, how high is the cliff? © Dorothy Wallace
	If initial velocity is 3 ft/s upward, and he hits the ground with velocity 100 ft/s, how high is the cliff? © Dorothy Wallace
	To practice using the concepts just covered, try problem setOC07-04-D-App-Motion in the WeBWorK window. If you have not yet opened a WeBWorK window displaying all the problem sets, you can do so by clicking below, then Guest Login. If necessary, click here to open a new WeBWorK window