(4) A model rocket is launched, and the propellant burns until exhausted. After the propellant is exhausted, the rocket will continue to coast upward until gravity causes it to fall downward. Finally, a parachute will pop out and slow the descent of the rocket until it hits the ground. Below is a graph of the vertical VELOCITY of the rocket with respect to time in seconds after launch: 150 100 50 10 15 -50 -100 -150 Answer the following questions. (a) At what time did the rocket reach its highest point? What was its velocity then? (b) At what time did the parachute pop out? What was the velocity of the rocket at that time? (c) At what time did the engine stop? What was the velocity of the rocket at that time? (d) When did the rocket hit the ground? What was the velocity of the rocket just before hitting the ground?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Please answer the question and show the solution (please answer all the parts as they are relevant to the question).

(4) A model rocket is launched, and the propellant burns until exhausted. After the
propellant is exhausted, the rocket will continue to coast upward until gravity causes
it to fall downward. Finally, a parachute will pop out and slow the descent of the
rocket until it hits the ground. Below is a graph of the vertical VELOCITY of the
rocket with respect to time in seconds after launch:
150
100
50
10
15
-50
-100
-150
Answer the following questions.
(a) At what time did the rocket reach its highest point? What was its velocity then?
(b) At what time did the parachute pop out? What was the velocity of the rocket
at that time?
(c) At what time did the engine stop? What was the velocity of the rocket at that
time?
(d) When did the rocket hit the ground? What was the velocity of the rocket just
before hitting the ground?
Transcribed Image Text:(4) A model rocket is launched, and the propellant burns until exhausted. After the propellant is exhausted, the rocket will continue to coast upward until gravity causes it to fall downward. Finally, a parachute will pop out and slow the descent of the rocket until it hits the ground. Below is a graph of the vertical VELOCITY of the rocket with respect to time in seconds after launch: 150 100 50 10 15 -50 -100 -150 Answer the following questions. (a) At what time did the rocket reach its highest point? What was its velocity then? (b) At what time did the parachute pop out? What was the velocity of the rocket at that time? (c) At what time did the engine stop? What was the velocity of the rocket at that time? (d) When did the rocket hit the ground? What was the velocity of the rocket just before hitting the ground?
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