Particle a and particle bare moving along a horizontal line for 051515. The velocity of particle a is given by v. (t) which is a continuous and twice differentiable function that only changes direction twice. It is known that particle a has an average acceleration of zero over the interval 3

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Chapter12: Relativity, Particle Physics, And Cosmology
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Particle a and particle b are moving along a horizontal line for 0 st≤15. The velocity of particle a is
given by v. (t) which is a continuous and twice differentiable function that only changes direction
twice. It is known that particle a has an average acceleration of zero over the interval 3<t≤13. The
graph of the veolcity of particle bis given above and is comprised of 4 line segments and a semicircle.
1. What is the velocity of particle bwhen t=2?
2. What is the acceleration of particle bwhen t=2?
3. Find the average velocity of x (t) for 2≤t≤8.
Graph of (t)
4. For what values of tis particle b moving to the left?
5. Find v. (t) when its acceleration is zero and the particle is moving right.
ne
Transcribed Image Text:clothin style was als al Con recuted efecto Qing est strated y the e cit pulai urop walty igh Eur rivi nost and erit an ve gov e l S, fc k t DI h 1 ( PSET 2: Particle Motion-11 Questions to Think About Name: Due on Friday 12/02 t 0 xa (t) va (t) -4 7 2 3 -1 5 1 1 8 5 3 11 10 1 13 25 0 15 6 -6 V Particle a and particle b are moving along a horizontal line for 0 st≤15. The velocity of particle a is given by v. (t) which is a continuous and twice differentiable function that only changes direction twice. It is known that particle a has an average acceleration of zero over the interval 3<t≤13. The graph of the veolcity of particle bis given above and is comprised of 4 line segments and a semicircle. 1. What is the velocity of particle bwhen t=2? 2. What is the acceleration of particle bwhen t=2? 3. Find the average velocity of x (t) for 2≤t≤8. Graph of (t) 4. For what values of tis particle b moving to the left? 5. Find v. (t) when its acceleration is zero and the particle is moving right. ne
6. For what values of tis particle b speeding up? Justify.
7. Find all values of m where the average acceleration of particle bon 3≤t≤m is zero.
8. For what values of tis v(t)=0?
9. What is the minimum number of times that x (t) must equal 7? Justify.
10. Which particle has a greater average speed on 8≤t≤11? Justify.
11. For what values of tare both particles moving to the right?
Transcribed Image Text:6. For what values of tis particle b speeding up? Justify. 7. Find all values of m where the average acceleration of particle bon 3≤t≤m is zero. 8. For what values of tis v(t)=0? 9. What is the minimum number of times that x (t) must equal 7? Justify. 10. Which particle has a greater average speed on 8≤t≤11? Justify. 11. For what values of tare both particles moving to the right?
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