A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds after being fired is given by: h(t)=-16t² +64t+800. The graph y=h(t) is given below: ►h(t) H 10 1. The point (4, 800) lies on this graph. Interpret what this means in terms of height and time. For questions 2-4 answer the question in each of three ways: a. Estimate the answer by looking at the graph above. b. Obtain a more accurate estimate by graphing y=h(t) on your graphing calculator and using the appropriate function (zero/intersect or maximum) under the CALC menu. c. Obtain the exact answer by using algebra. (Show your work!) 2. What is the maximum height reached by the ball? At what time does it reach that height?
A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds after being fired is given by: h(t)=-16t² +64t+800. The graph y=h(t) is given below: ►h(t) H 10 1. The point (4, 800) lies on this graph. Interpret what this means in terms of height and time. For questions 2-4 answer the question in each of three ways: a. Estimate the answer by looking at the graph above. b. Obtain a more accurate estimate by graphing y=h(t) on your graphing calculator and using the appropriate function (zero/intersect or maximum) under the CALC menu. c. Obtain the exact answer by using algebra. (Show your work!) 2. What is the maximum height reached by the ball? At what time does it reach that height?
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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Transcribed Image Text:A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t
seconds after being fired is given by: h(t)=-16t² +64t+800. The graph y=h(t) is given
below:
◆h(t)
0
3
:6
:8
9
10
1. The point (4, 800) lies on this graph. Interpret what this means in terms of height and time.
For questions 2-4 answer the question in each of three ways:
a. Estimate the answer by looking at the graph above.
b. Obtain a more accurate estimate by graphing y=h(t) on your graphing calculator and
using the appropriate function (zero/intersect or maximum) under the CALC menu.
c. Obtain the exact answer by using algebra. (Show your work!)
2. What is the maximum height reached by the ball? At what time does it reach that height?
2a.
2b.
Page 1 of 4
2c.
800-
600-
400-
200-
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