Suppose you throw a rock from an initial height h0 at a speed v0 and angle ? from the horizontal. Neglect drag or friction. (1.5pt)
a) Determine the coordinate system and draw a diagram of the trajectory. Draw the free-body diagram and find the net force.
b) Find the expression of rock's velocity as a function of time and find the rock's velocity and speed as it hits the ground.
c) Find an expression for the rock's speed based on conservation of energy, and show that it's the same as the one you found based on calculating the velocity vector.