TO. A ball is thrown vertically upward from the top of a building 240 feet tall with an initial velocity of 32 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t) = 240 + 32t - 16t². (a) After how many seconds does the ball strike the ground? (b) After how many seconds will the ball pass the top of the building on its way down? (a) After seconds the ball strikes the ground. (b) The ball passes the top of the building on its way down after seconds.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
icon
Related questions
Question
## Problem 10: Kinematics of a Vertically Thrown Ball

A ball is thrown vertically upward from the top of a building 240 feet tall with an initial velocity of 32 feet per second. The distance \( s \) (in feet) of the ball from the ground after \( t \) seconds is given by the equation:

\[ s(t) = 240 + 32t - 16t^2 \]

### Questions

#### (a) After how many seconds does the ball strike the ground?

**Answer:** After \( \_\_\_\_ \) seconds the ball strikes the ground.

#### (b) After how many seconds will the ball pass the top of the building on its way down?

**Answer:** The ball passes the top of the building on its way down after \( \_\_\_\_ \) seconds.
Transcribed Image Text:## Problem 10: Kinematics of a Vertically Thrown Ball A ball is thrown vertically upward from the top of a building 240 feet tall with an initial velocity of 32 feet per second. The distance \( s \) (in feet) of the ball from the ground after \( t \) seconds is given by the equation: \[ s(t) = 240 + 32t - 16t^2 \] ### Questions #### (a) After how many seconds does the ball strike the ground? **Answer:** After \( \_\_\_\_ \) seconds the ball strikes the ground. #### (b) After how many seconds will the ball pass the top of the building on its way down? **Answer:** The ball passes the top of the building on its way down after \( \_\_\_\_ \) seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage