# Problems: Freely falling objects

1. A person throws a ball upward into the air with an initial velocity of 15.0 m/s. Calculate (a) how high it goes, and (b) how long the ball is in the air before it comes back to the hand. Ignore air resistance.
2. Give examples to show the error in these two common misconceptions: (a) that acceleration and velocity are always in the same direction, and (b) that an object thrown upward has zero acceleration at the highest point
3. Let us consider again the ball thrown upward of Example 2-16, and make more calculations. Calculate (a) how much time it takes for the ball to reach the maximum height, and ( b ) the velocity of the ball when it returns to the thrower’s hand. ( c) For the ball here, calculate at what time t the ball passes a point 8.00 m above the person’s hand.
4. Suppose the same person is standing on the edge of a cliff, so that the ball can fall to the base of the cliff 50.0 m below. (a) How long does it take the ball to reach the base of the cliff? (b) What is the total distance traveled by the ball? Ignore air resistance (likely to be significant, so our result is an approximation).