plunges from a neigh Which equation can be solved for t to find the time (in seconds) when the diver hits the water? 4.9t² = 0 O 4.9² + 12.1-0 O4.9² - 12.1 - 12.1 ○ 4.9² = 12.1 m above the water surface. The distance the diver falls in t seconds is given by the function d(t) 4.9t 4.9² +12.1= -12.1 After how many seconds will the diver hit the water? (Round your answer to one decimal place.) Given that the velocity of the diver at time t = a is given by d(a+h)-d(a) lim 1-0 h what value of a (in s) should be used to calculate the velocity of the diver when they hit the water? (Round your answer to one decimal place.) 5 Determine the value of d(a) (in m) when the diver hits the water. d(a)= m With what velocity (in m/s) does the diver hit the water? (Round your answer to one decimal place.) m/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A cliff diver plunges from a height of 12.1 m above the water surface. The distance the diver falls in t seconds is given by the function d(t) = 4.96² m.
Which equation can be solved for t to find the time (in seconds) when the diver hits the water?
4.9t² = 0
O 4.9²
12.10
O 4.9² - 12.1 12.1
Ⓒ4.9² - 12.1
=
O 4.9² +12.1= -12.1
After how many seconds will the diver hit the water? (Round your answer to one decimal place.)
Given that the velocity of the diver at time t = a is given by
d(a+h)-d(a)
h
lim
2-0
what value of a (in s) should be used to calculate the velocity of the diver when they hit the water? (Round your answer to one decimal place.)
S
Determine the value of dl(a) (in m) when the diver hits the water.
d(a) =
m
With what velocity (in m/s) does the diver hit the water? (Round your answer to one decimal place.)
m/s
Transcribed Image Text:A cliff diver plunges from a height of 12.1 m above the water surface. The distance the diver falls in t seconds is given by the function d(t) = 4.96² m. Which equation can be solved for t to find the time (in seconds) when the diver hits the water? 4.9t² = 0 O 4.9² 12.10 O 4.9² - 12.1 12.1 Ⓒ4.9² - 12.1 = O 4.9² +12.1= -12.1 After how many seconds will the diver hit the water? (Round your answer to one decimal place.) Given that the velocity of the diver at time t = a is given by d(a+h)-d(a) h lim 2-0 what value of a (in s) should be used to calculate the velocity of the diver when they hit the water? (Round your answer to one decimal place.) S Determine the value of dl(a) (in m) when the diver hits the water. d(a) = m With what velocity (in m/s) does the diver hit the water? (Round your answer to one decimal place.) m/s
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