Speedometer readings for a vehicle (in motion)at 11-second intervals are given in the table.t (sec)v (ft/s)3211332234334144315529Estimate the distance traveled by the vehicleduring this 55-second period using the velocitiesat the beginning of the time intervals.distance traveled afeetGive another estimate using the velocities at theend of the time periods.distance traveled afeet

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Answered: Speedometer readings for a vehicle (in…

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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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
Speedometer readings for a vehicle (in motion) at 9-second intervals are given in the table. t (sec) v (ft/s) 0 26 9 23 18 16 27 18 36 19 45 23 Estimate the distance traveled by the vehicle during this 45-second period using the velocities at the beginning of the time intervals.distance traveled feet Give another estimate using the velocities at the end of the time periods.
Oil leaked from a tank at a rate of r(t) per hour. The rate decreased as time passed and values of the rate of two-hour time intervals are shoen in the table. Find lower and upper estimates for the total amount of oil that leaked out .
Speedometer readings for a motorcycle at 12-second intervals are given in the table. Give another estimate (in feet) using the velocities at the end of the time periods.
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
A rock is dropped from the edge of a cliff that is 214 meter above the water. Determine the position and veloctiy of the rock (use s(t)=-4.9t2+vot+so). Then determine the average velocity on the interval [2,5] and find the instantaneous velocity when t=2 seconds and t=5 seconds. Finally find teh time the rock hits the surface of the water and the velocity at impact.
Oil leaked from a tank at a rate of r (t) liters per hour. Therate decreased as time passed and values of the rate at twohourtime intervals are shown in the table. Find lower andupper estimates for the total amount of oil that leaked out.
a ladder 4m long at a construction site is resting against a wall the bottom of the ladder is slipping away from the wall find the estimate of the instantaneous rate of change of the height of the top of the ladder with respect to distance pf the bottom of the ladder from the wall when the bottom of the ladder is 2.5m away from the wall ise h=0.01 and the central interval
An executive conference room of a corporation contains 4500 ft3 of air initially free of car-bon monoxide. Starting at time t = 0, cigarette smoke contain-ing 4% carbon monoxide is blown into the room at the rate of 0.3 ft3/min. A ceiling fan keeps the air in the room well circu-lated and the air leaves the room at the same rate of 0.3 ft3/min. Find the time when the concentration of carbon monoxide in the room reaches 0.01%.
A colony of bacteria is of size S(t) = 300e0.1t after t hours. Find the average size during the first 18 hours (that is, from time 0 to time 18)
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.

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