BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.6, Problem 39E
To determine

To find:The velocity and the speed of a moving particle along a straight line.

Expert Solution

Answer to Problem 39E

The velocity and the speed of a moving particle is 1 and 1 respectively.

Explanation of Solution

Given: Aparticle moves along a straight line where time is 5 second and the equation is

  f(t)=100+50t4.9t2

Given f(t)=100+50t4.9t2 be any function.

The velocity is the first derivative of the position function which I found using the power rule.

  v(t)=f'(t)=509.8tputting in 5 for tv(5)=509.8(5)=5049=1

Speed is the absolute value of velocity

  s(5)=|v(5)|=1

Hence, the velocity and the speed of a moving particle is 1 and 1 respectively.

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