Homework 3 4 0f4 Problem 12.233 The foofbal player at A throws the ball in the y

Question

Homework 3 4 0f4 Problem 12.233 The foofbal player at A throws the ball in the y s plane PartA aspeed UA"42 ft/sard an arge ea"60" with the horzontal Ag the instant the ball is thrown, the player is at B and is running with constant speed of vy 28 ft/s along the line BC Pont C has tre same elevation as A Determine the time needed for the ball to reach point C Express your answer to three signilficant figures and include the appropriate units. lf igure 1) ValueUnits PartB Determine the time needed for the player to reach point C Express your answer to three signific figures and include the appropriate units. Figure

Explanation / Answer

Part A

Time for ball to reach max height is tu = Va Sin(60)/32.2

Total time of flight, t = 2 times time to reach max height

t ball= (2 x Va x sin(60))/32.2

t= ( 2 x 42 x sin(60) )/32.2

t= 1.129598 sec

Part B

Calculating the Distance travelled by the ball using the relation

s = s0 + v0t

Here s = Final Distance s0 = Initial distance v0 = initial velocity and t = time

s = 0 + 42* 1.12959

s = 47.4431 ft

Distance AC dac= 47.4431 ft

From Right Angle triangle

Distance BC2 = [302 + (47.4431 -20)2]

BC = 40.6586 ft

Time t = Distance BC/ Velocity of Player at B

Time t = 40.6586 /28

Time t = 1.4520 seconds

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