To be able to calculate the velocity and the angle of trajectory of an object undergoing projectile motion.

(Figure 1) A batter hits a softball over a third baseman's head with speed v0 and at an angle θ from the horizontal. Immediately after the ball is hit, the third baseman turns and runs at a constant velocity v=7.000m/s, for a time t=2.000s. He then catches the ball at the same height at which it left the bat. The third baseman was initially l=18.00m from home plate (the location where the ball was hit from).

 

 

 

Find v0. Use g=9.807m/s2 for the magnitude of the acceleration due to gravity. Assume that there is no air resistance.

Express the initial speed to four significant figures in meters per second.

v0 =

18.77

m/s

 

Angle of trajectory

Find the angle θ in degrees.

Express your answer numerically to four significant figures in degrees.

θ =

31.51

degrees

 

Velocity of the softball

Find the components vx and vy of the ball’s velocity, v, 0.100 s before the ball is caught.

Express your answers for vx and vy numerically to three significant figures in meters per second, separated by a comma.

v =

16.0,-8.83

m/s

 

The position of the softball before the ball is caught

Find the vector components x and y of the ball’s position, r, 0.100 s before the ball is caught.

Express your answers for x and y numerically to three significant figures in meters, separated by a comma.

r =

30.4,0.932

m