RE Velocity of a rocket The height in feet of a rocket

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 61RE Chapter 3

Calculus: Early Transcendentals | 1st Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 0 289 Reviews
30
2
Problem 61RE

RE Velocity of a rocket? The height in feet of a rocket above the ground is given by s(t)= 202t2 for t? 0. t +1 a.? Graph the height function and describe the motion of the rocket. b.? Find the velocity of t? h?e roc ? k? t? (?t) =? ?(?t). c.? Graph the velocity function and determine the approximate time at which the velocity is a maximum.

Step-by-Step Solution:

Solution Step 1: The height in feet of a rocket above the ground is given by 200t2 s(t)= t +1for t 0 (a)The rocket climbs quickly at first so that it has attained a height of 160 by the time t=2, then climbs more slowly climbing less than 40 units between t=2 and t=4 Step 2 The graph of the height function is given below Step 3: The velocity of the rocket v(t) = s (t) d = dxt) = d [200t2 ] dt t +1 2 v(t) =200 dt [ 2t ] ….(1) t +1 We know that d d d [u(x) ]= v(x)dxu(x))u(2)dxv(x)) dx v(x) (v(x)) Step 4 By using this formula we can find the derivative (1) 2 v(t) =200 d [ 2t ] dt t +1 2 d 2 2 d 2 (t +1)dtt )(t dt(t +1) =200[ (t +1) ] 2 2 =200[ (t +1)(2t)(t )(2t] (t +1)2 =200[ 2t ] (t +1)2

Step 5 of 7

Chapter 3, Problem 61RE is Solved
Step 6 of 7

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3 - Problem 61re

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3 - Problem 61re
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here