A student kicks a ball on a football field. The ball leaves the foot at 30 m/s at 45° to the ground. Your goal is to predict where it lands and the maximum height it reaches.
Formula Sheet
vx = v₀ cos θvy = v₀ sin θy = vy·t − ½g·t²x = vx·thmax = vy²/(2g)R = v₀² sin(2θ) / gWhat is the horizontal component of the initial velocity (vx)?
What is the total time of flight?
What is the maximum height reached?
Which launch angle gives the maximum range for a fixed initial speed?