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1- A muon (an elementary particle) enters a region with a speed of 5.34 × 10^{6} m/s and then is slowed at the rate of 2.16 × 10^{14} m/s^{2}. How far does the muon take to stop?

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*the tolerance is +/-2%*

2-The brakes on your automobile are capable of creating a deceleration of 4.8 m/s^{2}. If you are going 126 km/h and suddenly see a state trooper, what is the minimum time in which you can get your car under the 90 km/h speed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.)

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*the tolerance is +/-2%*

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*3-*In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an *x* axis. At time *t* = 0, the red car is at *x*_{r} = 0 and the green car is at*x*_{g} = 221 m. If the red car has a constant velocity of 22.0 km/h, the cars pass each other at x = 44.0 m. On the other hand, if the red car has a constant velocity of 44.0 km/h, they pass each other at *x* = 76.4 m. What are **(a)** the initial velocity and **(b)** the (constant) acceleration of the green car? Include the signs.

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(b) |
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4-A startled armadillo leaps upward, rising 0.530 m in the first 0.218 s. **(a)** What is its initial speed as it leaves the ground? **(b)** What is its speed at the height of 0.530 m? **(c)** How much higher does it go? Use *g*=9.81 m/s^{2.}

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(b) |
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In a forward punch in karate, the fist begins at rest at the waist and is brought rapidly forward until the arm is fully extended. The speed *v(t)* of the fist is given in the figure for someone skilled in karate. How far has the fist moved at **(a)** time *t* = 50 ms and **(b)** when the speed of the fist is maximum?

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