One stone is dropped from the top of a tall cliff and a second stone with the same mass is thrown vertically from the same cliff with a velocity of 10 m/s [down], 1 second after the first. Calculate the distance below the top of the cliff at which the second stone overtakes the first.

A basketball (m=0.625 kg) and a baseball (m=145g) are dropped from a height of 2.5 m.  For simplicity, assume the basketball and the baseball fall the full height and collide at ground level and that the coefficient of restitution between the floor and the basketball is 0.85.  (The coefficient of restitution represents the ratio between the velocity just before collision and the velocity just after collision, the up bounce.)  Determine the velocity of the baseball after its collision with the basketball.  Assume a perfectly elastic collision between the baseball and the basketball an upward=positive sign convention and g = 10 N/kg.

You are diving board over a swimming pool. You are throwing upward a tennis ball at a speed 3 m/s. On its way back down the tennis ball narrowly misses the diving and hits the water below at 15 m/s. The board is about

Calculate the velocity of the boat immediately after, assuming it was initially at rest.