A ball is thrown vertically upwards

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

A bomber wants to hit a target

A bomber flies with a constant velocity of 50 m/s horizontally and wants to hit a target traveling 20 m/s (same direction) on a highway 1000 m below. What is the horizontal distance of the bomber from the target so that a bomb released from it will hit the target?

Shooting a bullet horizontally and dropping a bullet

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

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.