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A stone is tossed into the air from ground level with an initial velocity of 21 meters per second. Its height in meters at time t seconds is h(t) = 21t – 4.9t². a) Compute the average velocity of the stone over the given time intervals. i) [1, 1.05] Average Velocity 5360 Not quite m/s Preview 5360 m/s

A stone is tossed into the air from ground level with an initial velocity of 21 meters per second. Its height in meters at time t seconds is h(t) = 21t – 4.9t². a) Compute the average velocity of the stone over the given time intervals. i) [1, 1.05] Average Velocity 5360 Not quite m/s Preview 5360 m/s

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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A stone is tossed into the air from ground level with an initial velocity of 21 meters per second. Its height in meters at time t seconds is h(t) 21t – 4.9t². a) Compute the average velocity of the stone over the given time intervals. i) [1, 1.05] Average Velocity 5360 Not quite. ii) [1, 1.01] Average Velocity 26100 ! Not quite. iii) [1, 1.005] Average Velocity 52022 Nope. m/s m/s m/s = Preview 5360 m/s Preview 26,100 m/s Preview 52,022 m/s
Transcribed Image Text:A stone is tossed into the air from ground level with an initial velocity of 21 meters per second. Its height in meters at time t seconds is h(t) 21t – 4.9t². a) Compute the average velocity of the stone over the given time intervals. i) [1, 1.05] Average Velocity 5360 Not quite. ii) [1, 1.01] Average Velocity 26100 ! Not quite. iii) [1, 1.005] Average Velocity 52022 Nope. m/s m/s m/s = Preview 5360 m/s Preview 26,100 m/s Preview 52,022 m/s
iv) [1, 1.001] Average Velocity 259390.24 Not quite. = b) Estimate the instantaneous velocity of the stone at t places. Instantaneous Velocity 11.2 ! Correct. Good Job! That's not it. Try again. Score: 20% m/s CHECK ANSWER Attempt 3 of 3 m/s Preview 259,390.24 m/s 1 sec. Round to 3 decimal Preview 11.2 m/s
Transcribed Image Text:iv) [1, 1.001] Average Velocity 259390.24 Not quite. = b) Estimate the instantaneous velocity of the stone at t places. Instantaneous Velocity 11.2 ! Correct. Good Job! That's not it. Try again. Score: 20% m/s CHECK ANSWER Attempt 3 of 3 m/s Preview 259,390.24 m/s 1 sec. Round to 3 decimal Preview 11.2 m/s
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