A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls in t seconds is given by the function d(t) = 16t2 ft. Which equation can be solved for t to find the time (in seconds) when the diver hits the water? O 16t2 + 36 = -36 O 16t2 = 0 O 16t2 + 36 = 0 O 16t2 - 36 = 36 O 16t2 = 36 After how many seconds will the diver hit the water? Given that the velocity of the diver at time t = a is given by d(a + h) – d(a) lim h-0 what value of a (in s) should be used to calculate the velocity of the diver when they hit the water? a = Determine the value of d(a) (in ft) when the diver hits the water. d(a) = ft With what velocity (in ft/s) does the diver hit the water? ft/s

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.103TI: Solve, rounding answers to the nearest tenth. The quadratic function h(x)=16t2+128t+32 is used to...
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A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls in t seconds is given by the function d(t)
16t? ft.
=
Which equation can be solved for t to find the time (in seconds) when the diver hits the water?
16t2 + 36 = -36
16t2
= 0
16t? + 36 = 0
16t2
36 = 36
16t2
= 36
After how many seconds will the diver hit the water?
Given that the velocity of the diver at time t = a is given by
d(a + h) – d(a)
lim
h-0
what value of a (in s) should be used to calculate the velocity of the diver when they hit the water?
a =
S
Determine the value of d(a) (in ft) when the diver hits the water.
d(a) :
ft
With what velocity (in ft/s) does the diver hit the water?
ft/s
Transcribed Image Text:A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls in t seconds is given by the function d(t) 16t? ft. = Which equation can be solved for t to find the time (in seconds) when the diver hits the water? 16t2 + 36 = -36 16t2 = 0 16t? + 36 = 0 16t2 36 = 36 16t2 = 36 After how many seconds will the diver hit the water? Given that the velocity of the diver at time t = a is given by d(a + h) – d(a) lim h-0 what value of a (in s) should be used to calculate the velocity of the diver when they hit the water? a = S Determine the value of d(a) (in ft) when the diver hits the water. d(a) : ft With what velocity (in ft/s) does the diver hit the water? ft/s
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