height 11. If a ball is tossed from the roof of a penthouse, it's eight above the groundt seconds after it is dropped will be s(1) = -82–41+3feet. 400-16t a) Find the velocity 2 seconds after it is tossed. b) Find the acceleration 2 seconds after it is tossed. c) Find the velocity with which it will hit the ground.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 11**

A ball is tossed from the roof of a penthouse, and its height above the ground \( t \) seconds after it is dropped is given by:

\[ s(t) = 400 - 16t^2 \, \text{feet} \]

a) Find the velocity 2 seconds after it is tossed.  
________________

b) Find the acceleration 2 seconds after it is tossed.  
________________

c) Find the velocity with which it will hit the ground.  
________________
Transcribed Image Text:**Problem 11** A ball is tossed from the roof of a penthouse, and its height above the ground \( t \) seconds after it is dropped is given by: \[ s(t) = 400 - 16t^2 \, \text{feet} \] a) Find the velocity 2 seconds after it is tossed. ________________ b) Find the acceleration 2 seconds after it is tossed. ________________ c) Find the velocity with which it will hit the ground. ________________
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