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1. A cookie is tossed from a window, and its height, y (in meters), above the...

1. A cookie is tossed from a window, and its height, y (in meters), above the ground t seconds after it is thrown is given by y = f(t) = −t ^2 + 2t + 3.

(a) How high above the ground is the window?

(b) What is the average velocity of the cookie on the interval [1.5, 2]?

(c) Approximate the velocity of the cookie when it hits the ground. Provide at least 4 approximating values. (Hint: set f(t) = 0 to figure out when the cookie hits the ground.)

(d) Sketch a graph of f(t) and draw the secant line that passes through the points at t = 1 and t = 2. (e) Find the equation of the secant line and label the graph of the line in part d.

Math   Calculus   
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