Two boys are playing a game of catch with a baseball. They are initially separated by a distance d₁ = 63 meters. One boy throws the ball with an initial speed v₀ = 27 m/s at an angle q = 33.6° above the horizontal, as shown in the picture above. The other boy moves to a new distance d₂ in order to catch it, at the same height above the ground as the first boy threw it. How far does the second boy have to move from his initial position in order to do this? Neglect air resistance.

Let positive designate movement to the right and negative designate movement to the left.

Use the magnitude of gravity g = 9.8 m/s².

d₂ - d₁ = m