A ball is thrown vertically upwards

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A ball is thrown from ground level vertically upwards with an initial velocity of vi. Draw a velocity-time graph of the ball’s motion. Consider collisions with the ground are absolutely elastic and neglect air resistance.

Image By Michael Maggs Edit by Richard Bartz – Own work, CC BY-SA 3.0, Link
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Shooting a bullet horizontally and dropping a bullet

fireddroppedbulletIf you fire a bullet horizontally and drop one from your hand at the same height and time, which will hit the ground first?

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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

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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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A ball falls from a height

BallIntheAirA ball falls from a height h = 100 m. Please find the average speed of its movement in the second half of the way. The initial velocity of the ball is zero and the gravitational acceleration is g = 9.8 m/s^2. The ball may be regarded as a point particle and air resistance neglected.

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A ball thrown vertically.

BallIntheAir
A ball thrown vertically upward into the air. The air resistance is not neglected.
Does it take longer to go up or come down? Why?

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