Problem

A batter hits a fly ball which leaves the bat 0.90 m above the ground at an angle of 61 ° with an initial speed of 28 m/s heading toward centerfield. Ignore air resistance, (a) How far from home plate would the ball land if not caught? (b) The ball is caught by the centerfielder who, starting at a distance of 105 m from home plate just as the ball was hit, runs straight toward home plate at a constant speed and makes the catch at ground level. Find his speed.

Problem 72GP

Step-by-step solution

Step 1 of 4 </p>

The fly ball will follow a parabolic path consistent with the projectile motion.

Height of ball above the ground () = 0.90 m.

Angle of projection

Initial speed of ball

Choosing the origin to be situated at the point exactly below the hitting point and considering upwards as the positive y direction,

The horizontal velocity

Or

Step 2 of 4 </p>

The time of flight calculation