# Problems: Freely falling objects

- 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. - 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
- 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. - 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).