Two rockets take of at the same time. - The Vanguard Rocket's height in miles at time t hours is given by hv(t) = t el.1t %3D - The Titan Rocket's height in miles at time t hour is given by h7(t) = 4 t2 7.1. Which one is traveling faster after 1 hour? Provide justification for your answer. 7.2. Compare their accelerations at 1 hour. 7.3. Which one is traveling faster after 2 hours? Provide justification for your answer.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 15PQ: When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently,...
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7. Two rockets take of at the same time.
- The Vanguard Rocket's height in miles at time t hours is given by hy(t) = t el.1t
- The Titan Rocket's height in miles at time t hour is given by h7(t) = 4 t2
7.1. Which one is traveling faster after 1 hour? Provide justification for your answer.
7.2. Compare their accelerations at 1 hour.
7.3. Which one is traveling faster after 2 hours? Provide justification for your answer.
8. Find the third derivative of each function.
8.1. h(x) = 5x³ – 2 x² + 10 x – 15
8.2. k(x) = e2x + 3 e-x
Transcribed Image Text:7. Two rockets take of at the same time. - The Vanguard Rocket's height in miles at time t hours is given by hy(t) = t el.1t - The Titan Rocket's height in miles at time t hour is given by h7(t) = 4 t2 7.1. Which one is traveling faster after 1 hour? Provide justification for your answer. 7.2. Compare their accelerations at 1 hour. 7.3. Which one is traveling faster after 2 hours? Provide justification for your answer. 8. Find the third derivative of each function. 8.1. h(x) = 5x³ – 2 x² + 10 x – 15 8.2. k(x) = e2x + 3 e-x
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