2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is given by s(t) = 1750-4.9t²,0 ≤t ≤19. a) From what height did the parachutist jump? b) Determine an algebraic expression in terms of a and h to estimate the average rate of change, over the time interval a ≤ t ≤a+h c) Determine the average rate of change of the parachutist's height above the ground over the interval [2, 5] using your equation from part b). What does the value represent?
2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is given by s(t) = 1750-4.9t²,0 ≤t ≤19. a) From what height did the parachutist jump? b) Determine an algebraic expression in terms of a and h to estimate the average rate of change, over the time interval a ≤ t ≤a+h c) Determine the average rate of change of the parachutist's height above the ground over the interval [2, 5] using your equation from part b). What does the value represent?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t
seconds is given by s(t) = 1750 – 4.9r, 0 sis19.
a) From what height did the parachutist jump?
b) Determine an algebraic expression in terms of a and h to estimate the average
rate of change, over the time interval a <t<a+h
c) Determine the average rate of change of the parachutist's height above the
ground over the interval [2, 5] using your equation from part b). What does the
value represent?
d) Use the equation you obtained from part b) to estimate the instantaneous rate
of change of her height at each time. Evaluate with h = 0.01
i)
ii1)
t= 8 s
t= 11 s
e) What do the values from part d) represent? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da15a0a-3952-4d2a-9e11-d776c6a234a4%2F3268ac1b-f600-4f4c-b264-e841f782698a%2Ft9y36ge_processed.png&w=3840&q=75)
Transcribed Image Text:2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t
seconds is given by s(t) = 1750 – 4.9r, 0 sis19.
a) From what height did the parachutist jump?
b) Determine an algebraic expression in terms of a and h to estimate the average
rate of change, over the time interval a <t<a+h
c) Determine the average rate of change of the parachutist's height above the
ground over the interval [2, 5] using your equation from part b). What does the
value represent?
d) Use the equation you obtained from part b) to estimate the instantaneous rate
of change of her height at each time. Evaluate with h = 0.01
i)
ii1)
t= 8 s
t= 11 s
e) What do the values from part d) represent? Explain.
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