The fastest pitched baseball was clocked at 46 m/s. If the pitcher exerted his force (assumed to be horizontal and constant) over a distance of 1.0 m, and a baseball has a mass of 145 g, a. Draw a free-body diagram of the ball during the pitch. b. What force did the pitcher exert on the ball during this record-setting pitch? c. Estimate the force in part b as a fraction of the pitcher’s weight.

SOLUTION: Step 1 of 5 Given Initial velocity(u)=0 Final velocity(v)=46 m/s Distance(x)= 1m Mass of the baseball=145 g Step 2 of 5 Free diagram of the ball during pitch Step 3 of 5 b)GIven Initial velocity of the baseball along x axis u=0 Final velocity of the baseball along x axis v= 46 m/s Distance travelled by the baseball before coming to the rest=x=1m Mass of the ball=145 g=145× 10 kg 3 We know that the second kinematic equation gives the relation between initial velocity ,final velocity and acceleration 2 2 v -u = 2ax We have to find the acceleration of baseball along x axis 2 2 a= v 2x