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 traveli when it hits the ground.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 13PFA
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4n ol - 16 (13Yf
Group Activity
The Instant of Impact
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.
Transcribed Image Text:4n ol - 16 (13Yf Group Activity The Instant of Impact 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.
3. What is the bundle's average speed during the last half-second
before it hits the ground?
4. What is the bundle's average speed during the last tenth of a second
before it hits the ground?
5. What is the bundle's speed at the exact moment it hits the ground?
Small World, Isn't It?: Beyond Linearit
Transcribed Image Text:3. What is the bundle's average speed during the last half-second before it hits the ground? 4. What is the bundle's average speed during the last tenth of a second before it hits the ground? 5. What is the bundle's speed at the exact moment it hits the ground? Small World, Isn't It?: Beyond Linearit
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