Concept explainers
Falling-Body Problems Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is given by h = −16t2 + h0, where h is measured in feet. Use this information to solve the problem.
127. If a ball is dropped from 288 ft above the ground, how long does it take to reach ground level?
The time taken by the ball to reach ground level if it is dropped from 288 ft above the ground.
Answer to Problem 109E
The time taken by ball to reach ground level is
Explanation of Solution
Given:
The height of an object dropped from a height
Calculation:
The height of the ball will be zero when it reaches the ground.
It is given that the ball is dropped from 288 ft above the ground.
Therefore, substitute
Simplify further as follows.
Note that, time will always be positive.
Thus, the time taken by ball to reach ground level is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning