The benches of a gallery in a cricket stadium are 1 m wide and 1 m high. A batsman strikes the ball at a level one metre above the ground and hits a mammoth sixer. The ball starts at 35 m/s at an angle of 53^ with the horizontal. The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman. Determine the number of the bench on which the ball will land. (Provide the bench number a

Step-by-step solution

The total horizontal distance the bike must cover to safely cross the ditch is the sum of the width of the ditch and the horizontal length of the bike. Horizontal length of the bike = L = 5 15^ 5 0.966 = 4.83 ft. Total required horizontal range R = 11.7 + 4.83 = 16.53 ft. Using the formula for the horizontal range of a projectile, R = v^2 (2 ) g . Substituting R = 16.53 ft, = 15^ , and standard gravity in US customary units g = 32 ft/s ^2 : 16.53 = v^2 (30^ ) 32 16.53 = v^2 0.5 32 v^2 = 16.53 32 0.5 = 1057.92 v = 1