Question

A pumpkin is kicked at an angle and achieves a horizontal distance of 120 m. If the maximum height achieved is 52 m, what is the initial velocity and launch angle?

Answer 1

52m = v0 x 120m/cos(θ) x sin(θ) - 1/2 x 9.81 m/s^2 x (120m / v0 x cos(θ))^2

Now, you can solve this equation for v0 and θ. This will involve some trigonometric calculations, and it may be most convenient to use a numerical method or graphing calculator to find the exact values. The values you obtain for v0 and θ will be the pumpkin's initial velocity and launch angle.