In To the Rescue, a supply bundle is dropped from a helicopter. The bundle's height off the ground t seconds after it is dropped is given by the equation h(t) = 400 - 16t2 %3D with h(t) measured in feet. Suppose the bundle can withstand the impact of hitting the ground only for speeds up to 165 feet per second. To determine whether the bundle will survive the fall, you need to find out how fast it is traveling when it hits the ground. Keep careful track of your computations in this activity so you can compare results from question to question. 1. a. How far does the bundle fall during its last 2 seconds (that is, during the time from t = 3 tot = 5)? b. What is the bundle's average speed during that 2-second interval? 2. a. How far does the bundle fall during the last second before it hits the ground? b. What is the bundle's average speed during that last second?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 21E
Question
mpact
In To the Rescue, a supply bundle is dropped from a helicopter. The
bundle's height off the ground t seconds after it is dropped is given by
the equation
h(t) = 400 – 16t2
with h(t) measured in feet.
Suppose the bundle can withstand the impact of hitting the ground
only for speeds up to 165 feet per second. To determine whether the
bundle will survive the fall, you need to find out how fast it is traveling
when it hits the ground.
Keep careful track of your computations in this activity so you can
compare results from question to question.
1. a. How far does the bundle fall during its last 2 seconds (that is,
during the time from t = 3 tot = 5)?
b. What is the bundle's average speed during that 2-second
interval?
2. a. How far does the bundle fall during the last second before it hits
the ground?
b. What is the bundle's average speed during that last second?
Transcribed Image Text:mpact In To the Rescue, a supply bundle is dropped from a helicopter. The bundle's height off the ground t seconds after it is dropped is given by the equation h(t) = 400 – 16t2 with h(t) measured in feet. Suppose the bundle can withstand the impact of hitting the ground only for speeds up to 165 feet per second. To determine whether the bundle will survive the fall, you need to find out how fast it is traveling when it hits the ground. Keep careful track of your computations in this activity so you can compare results from question to question. 1. a. How far does the bundle fall during its last 2 seconds (that is, during the time from t = 3 tot = 5)? b. What is the bundle's average speed during that 2-second interval? 2. a. How far does the bundle fall during the last second before it hits the ground? b. What is the bundle's average speed during that last second?
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