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b) This is a velocity-time graph of a particle. The area of the left shaded region is 6. The area of the right shaded region is 10.7. What is v(t)dt What is 2 3 v(t)dt?

b) This is a velocity-time graph of a particle. The area of the left shaded region is 6. The area of the right shaded region is 10.7. What is v(t)dt What is 2 3 v(t)dt?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) This is a velocity-time graph of a particle. The area of the left shaded region is 6. The area of the right shaded region is 10.7. What is v(t)dt _ What is -2 .3 -2 v(t)dt?
Transcribed Image Text:b) This is a velocity-time graph of a particle. The area of the left shaded region is 6. The area of the right shaded region is 10.7. What is v(t)dt _ What is -2 .3 -2 v(t)dt?
a) Select those options which are correct/true. v(t) is the velocity of some object. 10 v(t)dt is the distance travelled from t = 0 tot = 10. To get from velocity to position, you have to integrate. To get from velocity to position, you differentiate 10 a v(t)dt is the change in position from t = 0 tot = 10. To calculate change in position based on area, you need to think about whether vis positive or negative for the different areas. In a velocity-time graph, areas are equal to distance travelled In a position-time graph, areas are equal to distance travelled In a position-time graph, gradients are equal to speeds
Transcribed Image Text:a) Select those options which are correct/true. v(t) is the velocity of some object. 10 v(t)dt is the distance travelled from t = 0 tot = 10. To get from velocity to position, you have to integrate. To get from velocity to position, you differentiate 10 a v(t)dt is the change in position from t = 0 tot = 10. To calculate change in position based on area, you need to think about whether vis positive or negative for the different areas. In a velocity-time graph, areas are equal to distance travelled In a position-time graph, areas are equal to distance travelled In a position-time graph, gradients are equal to speeds
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below attached is part C can you alos do that

ū What is is [₁ v(t)dt? -3 6 What is 5 4 3+ 2 This is a velocity-time graph of a particle. The area of the left shaded region is 2.25. The area of the right shaded region is 4.33. What is the total distance travelled by the particle between t = -3 and t = 2? is [v(t)dt? [ -3 -1+ -2+
Transcribed Image Text:ū What is is [₁ v(t)dt? -3 6 What is 5 4 3+ 2 This is a velocity-time graph of a particle. The area of the left shaded region is 2.25. The area of the right shaded region is 4.33. What is the total distance travelled by the particle between t = -3 and t = 2? is [v(t)dt? [ -3 -1+ -2+
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