□ 3. The path of a tennis ball is given by the function f(t) = −²+ 6t. f(t) represents the height in feet and represents the time in seconds. At what time, inseconds, will the ball reach its maximum height?O 9 secondsO 6 secondsCannot be determinedO 3 seconds

Answered: Image /qna-images/answer/ad509b11-b485-4e79-9696-85dea46033bb.jpg

Answered: 3. The path of a tennis ball is given…

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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4. Aden jumped off a cliff into the ocean to show his friends that he is the bravest one of the bunch. His height as a function of time could be modeled by the function h(t) = - 16t° + 16t + 480, where t is the time in seconds and h is the height in feet. a. How long did it take for Aden to reach his maximum height?
2. Use the equation f(s) = 8s + 15 to evaluate the function at each value. Explain what each means in terms of the problem. a. f(7) b. f(100) c. f(11) d. f(0) e. f(2.5)
The height of an object, h, in feet when dropped from a height of 1250 feet is given by the function h(t) =-16t +1250, where t is the time in seconds after the object has been dropped. 25. What is the height of the object 2 seconds after being dropped? 26. What is the height of the object 8.5 seconds after being dropped? Choices for 25-26: A) 25 ft B) 94 ft C) 226 ft D) 289 ft E) 1150 ft AB) 1186 ft AC) 1214 ft AD) 1234 ft GSE Algebra IIIA Week 6 Page 21 of 27 Eyalate n
3. A ball is kicked in the air and its height is modeled by the function h(t) = - 16 +48t , where h(t) is the height in feet and tis the time in seconds. When does the ball hit the ground? (when the ball hits the ground, the height is 0) You must show work to support your answer!
Q4. A). An object is dropped from a cliff which is 900 feet above the ground. The height of the object is described as a function of time. The function is (6 marks) -16t? + 80t + 900 I. How far will the object drop in 2 seconds? I. What is the instantaneous velocity of the object at t = 2? III. What is the velocity of the object at the instant it hits the ground? Q4. B). Determine the nature and location of the critical point for the following function. (6 marks) x2 7+ 6x + 3 f(x) =

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3. The path of a tennis ball is given by the function f(t) = −²+61. f(t) represents the height in feet and represents the time in seconds. At what time, in seconds, will the ball reach its maximum height? 9 seconds O 6 seconds O Cannot be determined O 3 seconds