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) 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 b) Use the equation you obtained from part a) to estimate the instantaneous rate of change of her height at each time. Evaluate with h = 0.01 t = 8 s
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) 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 b) Use the equation you obtained from part a) to estimate the instantaneous rate of change of her height at each time. Evaluate with h = 0.01 t = 8 s
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Question
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) 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
b)
Use the equation you obtained from part a) to estimate the instantaneous rate of change of her height at each time. Evaluate with h = 0.01
-
- t = 8 s
- t = 11 s
c)
What do the values from part b) represent? Explain.
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