# Constants Part A An unmarked police car traveling a constant 95 km/h is passed by a speeder. Precisely 2.00s after the speeder passes, the police officer steps on the accelerator. If the police car accelerates uniformly at 3.00 m/s2 and overtakes the speeder after accelerating for 5.00 s what was the speeder's speed? km/h

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A: s=ut+12at2 u=0, a=g, s=h h=12gt2 t= 2hg v0= Wt = Wg2h vy=u+at = g2hg = 2h θ = vyvx =(2h)2Wg

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- A police car is traveling at a velocity of 17.0 m/s due north, when a car zooms by at a constant velocity of 42.0 m/s due north. After a reaction time 0.300 s the policeman begins to pursue the speeder with an acceleration of 5.00 m/s^2. Including the reaction time, how long does it take for the police car to catch up with the speeder?A cheetah can accelerate from rest to 23.5 m/s in 2.00 s. Assume that the acceleration is constant over the time interval. A runner can accelerate from rest to 7.90 m/s in the same time, 2.00 s. By what factor is the cheetah’s average acceleration magnitude greater than that of the runner?Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at2.00 m/s2, how long does it take to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.)
- A police car is traveling at a velocity of 16.0 m/s due north, when a car zooms by at a constant speed of 50 m/s due north. After a reaction time of 0.700 s the policeman begins to pursue the speeder with an acceleration of 5.00 m/s2. Including the reaction time, how long does it take for the police car to catch up with the speeder?The three graphs in Figure 2.13 represent the position vs. time for objects moving along the x-axis. Which, if any, of these graphs is not physically possible? Figure 2.13 (Quick Quiz 2.4) Which position vs. time curve is impossible?A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is V(av-x) = 6.25 m/s. How far does the car travel in 4.00s?
- In a boat race, boat A is leading boat B by 115 ft and both boats are traveling at a constant speed of 100 mi/h. At t= 0, the boats accelerate at constant rates. Knowing that when B passes A, t = 8 s and vA = 135 mi/h, determine (a) the acceleration of A, (b) the acceleration of B. help tyA rock is thrown directly upward from the edge of the roof of a building that is 43.8 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Take the acceleration due to gravity to have magnitude 9.80 m/s^2 and neglect any effects of air resistance. With what speed was the rock thrown?Suppose that a person unwisely drives 75 mi/h in a zone 55 mi/h and passes a police car going 55 mi/h in the same direction. If the police officers begin constant acceleration at the instant they are passed and increase their velocity to 80 mi/h in 4 s, how long does it take them to be even with the pursued car? Ans. 10s
- Suppose a car merges into freeway traffic on a 200 -m-long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, how long does it take to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.) v0=__m/sA small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is ?0=2.95 m/s. Knowing that at the time of the release the balloon was 57.8 m above the ground, determine the time ? it takes for the bag to reach the ground from the moment of its release. Use ?=9.81 m/s^2. ? = _____________ sAs soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant acceleration 9.00 mi/h/s. In the adjoining bicycle lane, a cyclist speeds up from rest to 20.0 mi/h with constant acceleration of 13.00 mi/h/s. Each vehicle maintains constant velocity after reaching a cruising speed. For what time interval is the bicycle ahead of the car?

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