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1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi mated by the function -0.01t2 – 5.5t + 3000 if 0

1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi mated by the function -0.01t2 – 5.5t + 3000 if 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi- mated by the function -0.01t2 – 5.5t + 3000 if 0 <t < 250 A(t) = { -2t + 1500 if 250 < t < 750 a) Calculate the average velocity of the skydiver over the time interval [100, 100+ h] for h = 1, 1.01, 1.001, and 1.00001. Using your results, how fast do you think the skydiver is falling at exactly 100 seconds into the jump? b) Below is a graph of A. Can we use this model to calculate the instantaneous velocity of the skydiver at t = 250 seconds? Explain. 3000 250 2000 1500 1000 500 200 00 400
Transcribed Image Text:1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi- mated by the function -0.01t2 – 5.5t + 3000 if 0 <t < 250 A(t) = { -2t + 1500 if 250 < t < 750 a) Calculate the average velocity of the skydiver over the time interval [100, 100+ h] for h = 1, 1.01, 1.001, and 1.00001. Using your results, how fast do you think the skydiver is falling at exactly 100 seconds into the jump? b) Below is a graph of A. Can we use this model to calculate the instantaneous velocity of the skydiver at t = 250 seconds? Explain. 3000 250 2000 1500 1000 500 200 00 400
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