The car catches up to the motorcycle

A car is moving along the highway at a speed of 80 km/hr. A motorcycle passes the car at a constant speed of 110 km/hr. If the car starts accelerating at 5 m/s2 at the moment the motorcycle passes, how much distance will be covered until the car catches up to the motorcycle?

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A passenger is late for a train

mpzm6jA passenger is late for a train. He stood at a railway station while the accelerating train passed him car by car. The passenger noticed that the last train car passed him for 8 seconds and the previous train car for 10 seconds. How long was the passenger late for the train? You should consider that the train moved with uniform acceleration and the length of the train cars is the same.

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Racing against time

airport
Can one leave London, United Kingdom at 8 am and land in Toronto, Canada at 8 am on the same day?
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Escape from the Anthill

antAn ant runs from an anthill in a straight line so that its velocity is inversely proportional to the distance from the center of the anthill. When the ant is at point A at a distance 1 m from the center of the anthill, its velocity is 2 cm/s. What time will it take the ant to run from point A to point B which is at a distance 2m from the center of the anthill?

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Car and Cyclist

cyclist-carA car accelerates from rest in a straight line with a constant acceleration. At the same time a cyclist passes the car in the same direction at constant speed v. What is the velocity of the car when it reaches the cyclist?

Image Credit:CC/Flickr/Richard Masoner/Cyclelicious

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A Pigeon Flies Between The Two Cities

pigeonIn the absence of wind a pigeon flies between the two cities for t = 60 minutes and it flies against the wind for t2 = 75 minutes. How long does it take for the pigeon to overcome this distance with the wind?

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How Long Does It Take to Get to Pluto?

PlutoImage Credit: NASA.

  A spaceship accelerates at a constant rate of 10 m / s2 for the first half of the trip and then slowing down at the same rate for the second half of the trip. The distance between Earth and Pluto is 4.773 * 1012 m. Can you calculate how long does it take to get to Pluto?

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