Buffy flings an old bagel off the end of a pier. The function that describes the

Question

Buffy flings an old bagel off the end of a pier. The function that describes the height of the bagel above the ocean is given by function

h(t)= - 0.01t2 + 0.55t + 25

a) evaluate h(0) and write a sentence interpreting what it means in the context of this problem

b) Find the maximum height of the bagel and when it occurs

c) When will the bagel hit the water? Write the equation you are solving and then you can use polynomial solver.

d) How long does the bagel stay above 15 feet? Show the equation you are solving and you can use a polynomial solver. Illustrate this situation on a graph

Explanation / Answer

h(t)= - 0.01t2 + 0.55t + 25

a) h(0)= - 0.01*0 + 0.55*0 + 25 = 25 feet

b) For maximum height, dh/dt = 0 = -0.02*t + 0.55 ======> t = 27.5 sec

maximum height = h(max) = -0.01*27.5^2 + 0.55*27.5 + 25 = 32.5625 feet

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