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128t A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t= 2? C. What is the instantaneous velocity at time t=5? Is the ball rising or falling? D. When will the ball hit the ground? 4. An object is dropped from a certain height. It is known that it will fall a distance s, in feet, in t seconds, given by s(1) = -161? A. How far will it fall in 3 sec? B. How far will it fall in 5 sec? C. What is the average rate of change of distance with respect to time during the period from 3 to 5 sec? (This is also average velocity). 5. During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t seconds, the screwdriver had fallen a di ntally dropped his portabl After t seconds, the screwdriver had fallen a s(t) = -16t2 + 400 A. How long did it take the screwdriver to hit the ground? %3D B. What was the average velocity of the screwdriver between the times it was dropped and the time it hit the ground? C. What was the velocity of the screwdriver at the time it hit the ground? 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t)3 10,000(1+0.86t +t?) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. 7. A company determines that the monthly sales S, in thousands of dollars, after t months of marketing a product is given by

128t A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t= 2? C. What is the instantaneous velocity at time t=5? Is the ball rising or falling? D. When will the ball hit the ground? 4. An object is dropped from a certain height. It is known that it will fall a distance s, in feet, in t seconds, given by s(1) = -161? A. How far will it fall in 3 sec? B. How far will it fall in 5 sec? C. What is the average rate of change of distance with respect to time during the period from 3 to 5 sec? (This is also average velocity). 5. During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t seconds, the screwdriver had fallen a di ntally dropped his portabl After t seconds, the screwdriver had fallen a s(t) = -16t2 + 400 A. How long did it take the screwdriver to hit the ground? %3D B. What was the average velocity of the screwdriver between the times it was dropped and the time it hit the ground? C. What was the velocity of the screwdriver at the time it hit the ground? 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t)3 10,000(1+0.86t +t?) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. 7. A company determines that the monthly sales S, in thousands of dollars, after t months of marketing a product is given by

Calculus: Early Transcendentals
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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128t A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t= 2? C. What is the instantaneous velocity at time t=5? Is the ball rising or falling? D. When will the ball hit the ground? 4. An object is dropped from a certain height. It is known that it will fall a distance s, in feet, in t seconds, given by s(1) = -161? A. How far will it fall in 3 sec? B. How far will it fall in 5 sec? C. What is the average rate of change of distance with respect to time during the period from 3 to 5 sec? (This is also average velocity). 5. During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t seconds, the screwdriver had fallen a di
Transcribed Image Text:128t A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t= 2? C. What is the instantaneous velocity at time t=5? Is the ball rising or falling? D. When will the ball hit the ground? 4. An object is dropped from a certain height. It is known that it will fall a distance s, in feet, in t seconds, given by s(1) = -161? A. How far will it fall in 3 sec? B. How far will it fall in 5 sec? C. What is the average rate of change of distance with respect to time during the period from 3 to 5 sec? (This is also average velocity). 5. During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t seconds, the screwdriver had fallen a di
ntally dropped his portabl After t seconds, the screwdriver had fallen a s(t) = -16t2 + 400 A. How long did it take the screwdriver to hit the ground? %3D B. What was the average velocity of the screwdriver between the times it was dropped and the time it hit the ground? C. What was the velocity of the screwdriver at the time it hit the ground? 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t)3 10,000(1+0.86t +t?) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. 7. A company determines that the monthly sales S, in thousands of dollars, after t months of marketing a product is given by
Transcribed Image Text:ntally dropped his portabl After t seconds, the screwdriver had fallen a s(t) = -16t2 + 400 A. How long did it take the screwdriver to hit the ground? %3D B. What was the average velocity of the screwdriver between the times it was dropped and the time it hit the ground? C. What was the velocity of the screwdriver at the time it hit the ground? 6. The initial population in a bacteria colony is 10,000. After t hours, the colony has grown to a number P(t) given by P(t)3 10,000(1+0.86t +t?) A. Find the rate of change of the population P with respect to time. This is also known as growth rate. B. Find the number of bacteria present after 5 hours. C. Find the growth rate when t = 5. 7. A company determines that the monthly sales S, in thousands of dollars, after t months of marketing a product is given by
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