A car starts from rest at a stop sign. It accelerates at 4.0 m/s2 for 6.0 s, coasts for 2.0 s, and then slows down at a rate of 3.0 m/s2 for the next stop sign. How far apart are the stop signs?
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- A commuter backs her car out of her garage with a constant acceleration of 1.9 m/s2. Assume that her initial motion is in the positive direction. How long does it take her to reach a speed of 2.35 m/s in seconds? If she then brakes to a stop in 0.65 s, what is her acceleration in meters per square second?A car is speeding at 25 m/s (constant) in a school zone. A police car starts from rest just as the speeder passes and accelerates at a constant rate of 5.0 m/s². How fast is the police car traveling when it catches up with the speeder?An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s² as it goes through. The station in 210.0 m long. How fast is it going when the nose leaves the station?
- A motorist traveling at 25.0 m/s passes a stationary police car. The police car gives chase 7.0 s later, accelerating at 3.0 m/s. How long (in seconds) after giving chase will the police car catch the motorist?A pickup truck is traveling at 30.0 m/s. The driver of the truck applies the brakes and gives the truck a uniform deceleration of 6.50 m/s2² while it travels 20.0 m. What is the speed of the truck in m/s at the end of this distance?A police car gets passed by a car traveling at a constant speed of 150.0 km/hr. The police car accelerates from rest at 5.00 m/s2, the moment the two cars are side by side. How long does it take the police officer to catch the car?
- A roller coaster car starts going down a hill from rest. It accelerates at 4.0 m/s2. If it is on the hill for 6.0 s, how fast (in m/s) is it going at the bottom of the hill? How long (in m) is the hill in the previous problem?Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 240 m/s2 for 20 ms, then travels at constant speed for another 30 ms. During this total time of 50 ms, 1/20 of a second, how far does the tongue reach?You are driving a car on a straight road at a speed of +25.0 m/s when you spot a desert tortoise walking across the road in front of you. You brake the car to a stop. The car slows down with a constant acceleration of −2.0 m/s2. How far does the car travel as it slows to a stop?