A car is tail-gating a truck. One of the passengers noticed that he is tail-gating and requested the driver to stop. If the initial velocity of the car from a certain position along an expressway is 60 km/hr and covers a distance of 5 kilometers in 10 minutes before it stops, what is the acceleration of the car?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...
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1) A car is tail-gating a truck. One of the passengers noticed that he is tail-gating and requested the driver to stop. If the initial velocity of the car from a certain position along an expressway is 60 km/hr and covers a distance of 5 kilometers in 10 minutes before it stops, what is the acceleration of the car?
2) A police officer is in pursuit of a riding in tandem who was suspected to have snatched a cellphone along a busy road. If the motorcycle used by the officer to catch the culprits is traveling at 20 m/s to 40 m/s just in time to catch the culprits, what is the distance covered by the police officer if it took him 10 seconds to do so?
3) A coin is allowed to freely fall from rest. If the height from where the object falls is 10 m, how much time will the coin reach the ground. Consider that external effects such as air resistance, the motion of the earth and other factors are negligible.
4) Despite of warnings, two students played volleyball on one of the buildings of the school. From what height was the ball coming from if it took 2 seconds for it to reach the ground. Consider that external effects such as air resistance, the motion of the earth and other factors are negligible.
5) You normally drive on the highway between Manila and Batangas at an average speed of 105 km/hr (65mi/hr), and the trip takes 2 hr and 10 min. On a rainy day you slow down and drive the same distance at an average speed of 80km/hr (50mi/hr). How much longer does the trip take?
6) A hypothetical spaceship takes a straight-line path from the Earth to the moon, a distance of about 400,000 km. Suppose it accelerates at 10.0 m/s2 for the first 20 minutes of the trip, then travels at constant speed until the last 20 minutes, when it accelerates at -10.0 m/s2, just coming to rest as it reaches the moon. What total time in minutes is required for the trip?
7) An insect accelerates over a distance of 10 cm in 5.0 s, increasing its velocity to 5 cm/s. What was its initial velocity?
8) A bullet fired into a tree trunk strikes it with an initial velocity of 300 m/s. If the bullet penetrates the tree trunk to a depth of 10 cm and comes to rest, what is the acceleration of the bullet?
9) A jet flying at 400 m/s engages and accelerates at a rate of 15 m/s/s to a velocity of 500 m/s. How far does the fighter jet travels during acceleration?
10) A jaguar was observed to have left skid marks that were 300 m in length. Assuming that the jaguar skidded to a stop with a constant acceleration of – 3.90 m/s2, determine the speed of the jaguar before it began to skid.

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