Prove: For an elevation which exceed or fall short of 45° by equal amounts the ranges are equal.

A reckless drunk is playing with a gun in an airplane that is going directly east at 500 kmhr^–1. The drunk shoots the gun straight up at the ceiling of the plane. The bullet leaves the gun at a speed of 1000 kmhr^–1. Relative to an observer on earth what angle does the bullet make with the vertical?

From the top of a tower 19.6m high a ball is thrown horizontally. If the line joining the point of projection to the point where it hits ground makes an angle of 45° with the horizontal then initial velocity of ball is:

a) 9.8 ms^–1

b) 4.9 ms^–1

c) 14.7 ms^–1

d) 2.8 ms^–1

A grasshopper can jump a maximum horizontal distance of 40 cm. If it spends negligible time on the ground then in this case its speed along the horizontal road will be?

An aeroplane takes off at an angle of 30° to the horizontal. If the component of its velocity along the horizontal is 250 kmhr^–1, what is the actual velocity? Find its vertical component.