A particle is moving on a straight track. You start your clock as it moves by your position. The graph of the velocity as a function of time is shown by the blue curve in the diagram below. To approximate the distance that the particle goes in the first 2.5 seconds, you construct the rectangles as shown. a) Will this construction give an overestimate of the true distance, or will it give an underestimate of the true distance? b) Is this a Left Sum, or is it a right sum? c) What is the delta-t in this construction? Options: 1. a) Over estimate, b) Right sum, c) delta-t = 0.25 2. a) Under estimate, b) Left sum, c) delta-t = 2.5 3. a) Under estimate, b) Right sum, c) delta-t = 0.25
A particle is moving on a straight track. You start your clock as it moves by your position. The graph of the velocity as a function of time is shown by the blue curve in the diagram below. To approximate the distance that the particle goes in the first 2.5 seconds, you construct the rectangles as shown.
a) Will this construction give an overestimate of the true distance, or will it give an underestimate of the true distance?
b) Is this a Left Sum, or is it a right sum?
c) What is the delta-t in this construction?
Options:
1. a) Over estimate, b) Right sum, c) delta-t = 0.25
2. a) Under estimate, b) Left sum, c) delta-t = 2.5
3. a) Under estimate, b) Right sum, c) delta-t = 0.25
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