Imagine throwing a 2-kg ball straight upward with an initial speed of 15 m/s. You can assume that the ball is in free fall for its entire trip, and that there is no air resistance.

1. How much kinetic energy does the ball have at the very beginning of its trip?

2. If we throw the ball from a starting height of 1 m, how much potential energy does the ball have to begin with?
3. What is the total energy of the ball at the very beginning of its trip?

4. How high will the ball go (hint: think about what the speed of the ball will be at its highest point, and use conservation of energy).