4. A car is accelerating and the table below gives the velocity every second. 4 7.6 3. 1 3.1 Time (sec) Velocity (ft/sec) 4.4 5.9 a) Give lower and upper estimates of the distance the car traveled in 4 seconds b) On a sketch of a velocity-time graph, show the lower and upper estimates and the difference between them. c) Increased accuracy can be obtained by halving the interval width. Use your granh estimate the car's speed after 0.5 seconds, 1.5 seconds, etc.. d) Use the new data to calculate more accurate lower and upper estimates of the distan traveled.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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Question number 4
164
Chapter 3 - The Definite Integral
3.
A car is accelerating and the table below gives the velocity every second.
1
4.4
4.
3.
4
8.
Time (sec)
| 3.1
5.9
7.6
|Velocity (ft/sec)
a) Give lower and upper estimates of the distance the car traveled in 4 seconds
b) On a sketch of a velocity-time graph, show the lower and upper estimates and the
difference between them.
c) Increased accuracy can be obtained by halving the interval width. Use your granh n
estimate the car's speed after 0.5 seconds, 1.5 seconds, etc..
d) Use the new data to calculate more accurate lower and upper estimates of the distan
traveled.
5.
Below is a graph that shows the velocity,v, of an object in meters per second.
40
30
v(m/s) 20
10 ......
time (seconds)
Estimate the total distance the object traveled between t = 0 and t=6.
6.
The velocity of a car is given by
v(t) = 12 +21
where v(t) is measured in ft/sec and t is measured in seconds.
a) Estimate the distance traveled from t 1 to t=4 using 3 subdivisions.
b) How accurate is your answer?
A car is moving along a straight rood
rendin
Transcribed Image Text:164 Chapter 3 - The Definite Integral 3. A car is accelerating and the table below gives the velocity every second. 1 4.4 4. 3. 4 8. Time (sec) | 3.1 5.9 7.6 |Velocity (ft/sec) a) Give lower and upper estimates of the distance the car traveled in 4 seconds b) On a sketch of a velocity-time graph, show the lower and upper estimates and the difference between them. c) Increased accuracy can be obtained by halving the interval width. Use your granh n estimate the car's speed after 0.5 seconds, 1.5 seconds, etc.. d) Use the new data to calculate more accurate lower and upper estimates of the distan traveled. 5. Below is a graph that shows the velocity,v, of an object in meters per second. 40 30 v(m/s) 20 10 ...... time (seconds) Estimate the total distance the object traveled between t = 0 and t=6. 6. The velocity of a car is given by v(t) = 12 +21 where v(t) is measured in ft/sec and t is measured in seconds. a) Estimate the distance traveled from t 1 to t=4 using 3 subdivisions. b) How accurate is your answer? A car is moving along a straight rood rendin
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