Item 8 Part A Figure 1) A softball is hit over a third baseman\'s head with some

Question

Item 8 Part A Figure 1) A softball is hit over a third baseman's head with some speed to at an angle above the horizontal. Immediately after the ball is hit, the third baseman tuns around and begins to run at a constant velocity V-7.00 m/s He catches the ball t = 2.00 s later at the same height at which it left the bat. The third baseman was onginally standing L = 18.0 m from the location at which the ball was hit Find wo. Use g-9.81 m/s for the magnitude of the acceleration due to gravity Express the initial speed numerically in units of meters per second to three significant figures m/s Submit My Answers Give Up of 1 Part B Find the angle in degrees. Express your answer numerically in degrees to three significant figures. Submity Answers Give lis

Explanation / Answer

range of ball = L + Vt

= 18 + (7 x 2) = 32 m

time of flight, t = 2 v0 sin(theta) / g

v0 sin(theta) = 2 x 9.81 / 2 = 9.81 ..... (i)

in horizontal, (v0 cos(theta)) (2) = 32

v0 cos(theta) = 16 ..... (ii)

(i) / (ii) => tan*theta = 0.613

theta = 31.5 deg

v0 = 16 /cos31.5 = 18.8 m/s

(A) v0 = 18.8 m/s

(b) theta = 31.5 m/s

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