Question A rocket is travelling in a straight line for a minute. The distance in metres covered by the rocket during this time is describe by the function. s7t2 +10t+850 - 238ln (t² - 10t+34) where t≥ 0 and time is given in seconds. a. Find a function that describes the velocity of the rocket. b. What is the velocity of the rocket at the time t = 4 seconds. c. Find all values of time t (if any) when the velocity of the rocket is 80ms¯¹

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A rocket is travelling in a straight line for a minute. The distance in metres covered by
the rocket during this time is describe by the function.
s7t2 +10t+850 - 238ln (t² - 10t+34)
where t≥ 0 and time is given in seconds.
a. Find a function that describes the velocity of the rocket.
b. What is the velocity of the rocket at the time t = 4 seconds.
c. Find all values of time t (if any) when the velocity of the rocket is 80ms¯¹
Transcribed Image Text:Question A rocket is travelling in a straight line for a minute. The distance in metres covered by the rocket during this time is describe by the function. s7t2 +10t+850 - 238ln (t² - 10t+34) where t≥ 0 and time is given in seconds. a. Find a function that describes the velocity of the rocket. b. What is the velocity of the rocket at the time t = 4 seconds. c. Find all values of time t (if any) when the velocity of the rocket is 80ms¯¹
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d. Find the function that describes the acceleration of the rocket.
e. Find the acceleration of the rocket at t = 4 seconds.
f. Find all values of time t (if any) when the rocket's acceleration is 14 ms¯².
Transcribed Image Text:d. Find the function that describes the acceleration of the rocket. e. Find the acceleration of the rocket at t = 4 seconds. f. Find all values of time t (if any) when the rocket's acceleration is 14 ms¯².
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