Flight of a Model Rocket The altitude (in feet) of a model rocket t seconds into a trial flight is given by s = f(t) = -2t3 + 30t2 + 9 (t 2 0) (a) Find an expression v for the rocket's velocity (in ft/s) at any time t. (b) Compute the rocket's vertical velocity (in ft/s) when t = 0, 8, 10, and 12. t= 0 ft/s t= 8 ft/s t= 10 ft/s t = 12 ft/s Interpret your results. ft/sec. It --Select-- v until a -Select--- ♥ altitude is attained seconds into flight. It then The rocket starts out at an initial velocity of Select-- (c) Using the results from the solution to part (b), find the maximum altitude (in ft) attained by the rocket. Hint: At its highest point, the velocity of the rocket is zero. ft

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
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Flight of a Model Rocket The altitude (in feet) of a model rocket t seconds into a trial flight is given by
s = f(t) = -2t3 + 30t2 + 9
(t 2 0)
(a) Find an expression v for the rocket's velocity (in ft/s) at any time t.
V =
(b) Compute the rocket's vertical velocity (in ft/s) whent = 0, 8, 10, and 12.
t = 0
ft/s
t = 8
ft/s
t = 10
ft/s
t = 12
ft/s
Interpret your results.
The rocket starts out at an initial velocity of
ft/sec. It
-Select---
v until a
-Select---
altitude is attained
seconds into flight. It then
Select---
(c) Using the results from the solution to part (b), find the maximum altitude (in ft) attained by the rocket. Hint: At its highest point, the velocity of the rocket is zero.
ft
Transcribed Image Text:Flight of a Model Rocket The altitude (in feet) of a model rocket t seconds into a trial flight is given by s = f(t) = -2t3 + 30t2 + 9 (t 2 0) (a) Find an expression v for the rocket's velocity (in ft/s) at any time t. V = (b) Compute the rocket's vertical velocity (in ft/s) whent = 0, 8, 10, and 12. t = 0 ft/s t = 8 ft/s t = 10 ft/s t = 12 ft/s Interpret your results. The rocket starts out at an initial velocity of ft/sec. It -Select--- v until a -Select--- altitude is attained seconds into flight. It then Select--- (c) Using the results from the solution to part (b), find the maximum altitude (in ft) attained by the rocket. Hint: At its highest point, the velocity of the rocket is zero. ft
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