Concept explainers
(a)
The distance travelled based on LRAM.
(a)
Answer to Problem 17E
The total distance travelled is 5220 meter.
Explanation of Solution
Given information:
The velocity of the now every 5 minutes for an hour, with the results shown in the table below,
Formula used:
The left-hand point rectangle approximation method is used.
Calculation:
For left-hand point rectangle approximation method (LRAM), area is divided into rectangles. Total time is divided into equal intervals and at left-hand point of interval calculates the velocity which is equal to height of rectangle then calculates the area or small rectangles then adds all the area. Total area gives the distance travelled. There is no need to measure height because having the recorded data.
Since,
So,
Conclusion:
The total distance travelled is 5220 meter.
(b)
The distance travelled based on RRAM
(b)
Answer to Problem 17E
The total distance travelled is 4920 meter.
Explanation of Solution
Given information:
The velocity of the now every 5 minutes for an hour, with the results shown in the table below,
Formula used:
The right-hand point rectangle approximation method is used.
Calculation:
For right-hand point rectangle approximation method (RRAM), area is divided into rectangles. Total time is divided into equal intervals and at right-hand point of interval calculates the velocity which is equal to height of rectangle then calculates the
Area of small rectangles then adds all the area. Total area gives the distance travelled. There is no need to measure height because we have recorded data.
Conclusion:
The total distance travelled is 4920 meter.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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