Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft above the ground at a speed of 96 ft>s. Its height (in feet) above the ground is given by h1t2= -16t2 + 96t + 80, where t represents time measured in seconds. a. Assuming the rocket is launched at t = 0, what is an appropriate domain for h? b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft above the ground at a speed of 96 ft>s. Its height (in feet) above the ground is given by h1t2= -16t2 + 96t + 80, where t represents time measured in seconds.

a. Assuming the rocket is launched at t = 0, what is an appropriate domain for h?

b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?

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