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Projectile Motion_3

A football is kicked with an initial speed of v at an angle of θ above the ground as shown below. Derive an expression for the horizontal velocity component vx in terms of v and θ. Derive an expression for the vertical velocity component vy in terms of v and θ. Derive an expression for the time to reach the peak of the trajectory in terms of v and θ. Derive an expression for the maximum height H in terms of v and θ. Derive an expression for the horizontal range R in terms of v and θ. Determine the ratio: (𝐻/𝑅) for when Δy = 0.