A catapult on a cut launches a large round rock towards a snip on the ocean below.
Question:
A catapult on a cut launches a large round rock towards a snip on the ocean below. The rock leaves the catapult from a height H or 32.0 m above sea level, directed at an angle Theta above the horizontal with an unknown speed V_0. The projectile remains in flight for 6.00 seconds and travels a horizontal distance D of 163.0 m. Assuming that air friction can be neglected, calculate the value of the angle Theta. You know the net change in height of the rock, along with the horizontal distance it travels. Since you calculated the initial angle already, you can use your equations of position in two dimensions to solve for the initial speed. To what height above sea level does the rock rise? What is the vertical component of the rock's velocity at its maximum height?