Question

A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 3.55 m/s. If the roof is pitched at 36.0° below the horizon and the roof edge is 3.70 m above the ground, find the time the baseball spends in the air and the horizontal distance from the roof edge to the point where the baseball lands on the ground.

Solve for the time of flight using v_y² = v_0y² − 2gΔy and then v_y = v_0y − gt. Solve for the horizontal distance using the horizontal displacement equation.

(a) the time the baseball spends in the air (in s) s

(b) the horizontal distance from the roof edge to the point where the baseball lands on the ground (in m) m

Answer 1

Solution

a) 0.682s

b) 1.959m