Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t (sec) v (ft/s) 30 10 35 20 31 30 34 40 26 50 42 Estimate the distance traveled by the vehicle during this 50-second period using the velocities at the beginning of the time intervals. feet distance traveled Give another estimate using the velocities at the end of the time periods. distance traveled a feet

Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t (sec) v (ft/s) 30 10 35 20 31 30 34 40 26 50 42 Estimate the distance traveled by the vehicle during this 50-second period using the velocities at the beginning of the time intervals. feet distance traveled Give another estimate using the velocities at the end of the time periods. distance traveled a feet

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
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Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t (sec) v (ft/s) 0 21 10 35 20 37 30 35 40 35 50 35 Estimate the distance traveled by the vehicle during this 50-second period using the velocities at the beginning of the time intervals.distance traveled ≈ feetGive another estimate using the velocities at the end of the time periods.distance traveled ≈ feet
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Speedometer readings for a motorcycle at 12-second inter-vals are given in the table. (a) Estimate the distance traveled by the motorcycle duringthis time period using the velocities at the beginning ofthe time intervals. t (s) 0 12 24 36 48 60 v (ft /s) 30 28 25 22 24 27
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Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 32 28 24 21 25 27 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft(b) Give another estimate using the velocities at the end of the time periods. ft
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Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 30 28 25 21 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft(b) Give another estimate using the velocities at the end of the time periods. ft(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.(b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.