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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Two Stones

One stone is thrown upwards from a point on the ground with an initial velocity v1 and simultaneously another stone is dropped from a height. They reach the ground at the same instant. Compare the velocities which they have attained.2Stones
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An airline passenger drops a coin

plane

An airline passenger drops a coin while the plane is moving horizontally at 240 m/s. What is the velocity of the coin relative to the plane and relative to the Earth when it strikes the floor 1 m below its point of release?

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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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The minimum velocity with which an object must be thrown

ThrownWhat is the minimum velocity Vo with which an object must be thrown at an angle of α = 60° to the horizontal, so that it flew over a wall height of h = 6 m, if the wall is at the distance of d = 5 m from a point of throwing?

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