1. A stone is thrown with an initial velocity of 15m/s at 30 degrees above the horizontal off of a bridge. The initial position of the stone above the ground is (0m, 40m). The stone lands at the position (48m, 0m).

a) What is the maximum height the stone reaches above the ground? (Answer: 42.87m)

b) How long is the stone in flight? (Answer: 3.7s)

c) What is the final velocity of the stone just before it hits the ground? Don't forget to find the x and y components of the final velocity first. (Answer: 31.8m/s, below the +x axis)

2. A catapult launches a rock with an initial velocity of 50m/s at 35 degrees above the horizontal. The rock must clear 3.5m at 10m away in order to make it over a castle wall to get to the enemy. Do the knights succeed? By how much do they clear the wall or miss clearing the wall? (Answer:3.1m)