Motion in a Plane

A ball of mass m is thrown vertically up. Another ball of mass 2 m is thrown at an angle with the vertical. Both of them stay in air for the same period of time. What is the ratio of the height attained by the two balls. 

Two bodies were thrown simultaneously from the same point, one straight up and the other at an angle θ = 60° to the horizontal. The initial velocity of each body is u = 30 m/s. Neglecting air resistance, find the distance between the bodies after 2 seconds.

The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection. What will the percentage increase in the horizontal range?

The speed of a projectile when it is at its greatest height is √(2/5) times its speed at half the maximum height. What is its angle of projection?

A skilled gunman always keeps his gun slightly tilted above the line of sight while shooting. Why?

In long jump, does it matter how high you jump? What factors determine the span of the jump?