A man drops a baseball from the edge of a roof of a building. At exactly the same time another man shoots a baseball vertically up towards the man on the roof in such a way that the ball just barely reaches the roof. Does the ball from the roof reach the ground before the ball from the ground reaches the roof, or is it the other way around?

Estimate the time it takes for a free fall drop from 10 meters height. Also estimate the time a 10 m platform diver would be in the air if he takes off straight up with a vertical speed of 2 m/s (and clears the platform of course!)

To attain the maximum range a projectile has to be launched at 45 degrees if the landing spot and the launch spot are at the same height (neglecting air resistance effects.) What is the situation if the landing spot is lower than the launch spot? Does a 45 degree launch still yield maximum range? If not, how must the launch angle be changed?

On the Moon the acceleration due to gravity is about one sixth that on Earth. If a golfer on the Moon imparted the same initial velocity to the ball as she does on the Earth, how much farther would the ball go?