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1- A muon (an elementary particle) enters a region with a speed of 5.34 × 106 m/s and then is slowed at the rate of 2.16 × 1014 m/s2. How far does the muon take to stop?
the tolerance is +/-2%
2-The brakes on your automobile are capable of creating a deceleration of 4.8 m/s2. 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.)
the tolerance is +/-2%
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 xr = 0 and the green car is atxg = 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.
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/s2.
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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