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 3.8, Problem 9E

(a)

To determine

To find: The velocity of the stone after 3s .

Expert Solution

Answer to Problem 9E

The velocity of the stone after 3s is 5.02m/s .

Explanation of Solution

Given information:

The height function of the stone is given by,

  h=10t0.83t2

The velocity of the stone after 3s is calculated as,

  h=10t0.83t2dhdt=101.66tv=101.66(3)v=5.02m/s

Therefore, the velocity of the stone after 3s is 5.02m/s .

(b)

To determine

To find: The velocity of the stone after it has risen 25m .

Expert Solution

Answer to Problem 9E

The velocity of the stone after it has risen 25m is 4.12m/s .

Explanation of Solution

Given information:

The height function of the stone is given by,

  h=10t0.83t2

The time to reach 25m is calculate as,

  h=10t0.83t225=10t0.83t2t=3.54s

The velocity of the stone after it has risen 25m is calculated as,

  h=10t0.83t2dhdt=101.66tv=101.66(3.54)v=4.12m/s

Therefore, The velocity of the stone after it has risen 25m is 4.12m/s .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!