A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t² + 17t +0.8. Please use the differential rules for polynomial functions. a) Determine the height of the rocket after 2 s. b) Determine the rate of change of the height of the rocket after 1 s, and 3 s. c) How long does it take the rocket to hit the ground? d) How fast was the rocket travelling when it hit the ground? Explain your reasoning. e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 17t + 0.8 at t = 2.5 s.
A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t² + 17t +0.8. Please use the differential rules for polynomial functions. a) Determine the height of the rocket after 2 s. b) Determine the rate of change of the height of the rocket after 1 s, and 3 s. c) How long does it take the rocket to hit the ground? d) How fast was the rocket travelling when it hit the ground? Explain your reasoning. e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 17t + 0.8 at t = 2.5 s.
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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Transcribed Image Text:A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t² + 17t +0.8.
Please use the differential rules for polynomial functions.
a) Determine the height of the rocket after 2 s.
b) Determine the rate of change of the height of the rocket after 1 s, and 3 s.
c) How long does it take the rocket to hit the ground?
d) How fast was the rocket travelling when it hit the ground? Explain your reasoning.
e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 17t + 0.8 at t = 2.5 s.
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