Show your work on free-response questions. Be sure to use proper units and signi

Question

Show your work on free-response questions. Be sure to use proper units and significant figures in your final answers. Organization and neatness count, too. Do NOT use red ink please reserve that color for grading. 1. A golf ball is hit in a high arc on level ground. Its initial velocity is 35.0 m/s at 58.0 above the horizontal. Ignore air resistance. a. (2 pts.) What are the vertical and horizontal components of the ball's initial velocity, vo? Show your work. b. (3 pts) Find how much time it takes for the ball to land. (Hint: Your answer should be 6.06 s.) Showlexplain your work completely. (4 pts.) What is the ball's total velocity (magnitude and direction) at4.00 s? Show your work.

Explanation / Answer

initial vel u = 35 m/s

angle of launch = 58 deg

Horizontal component ux = 35 Cos(58) = 18.54 m/s

vertical component      uy = 35 Sin(58) = 29.68 m/s

b) the ball will have an acceleration of -9.8 while going up , reaches a maximum height where the vertical vel=0 and then fall back to the ground. upward time = downward time

final velocity =0

v = u-gt   t= u/g

total flight time = 2ux /g = 2*29.68/9.8 = 6.06 s

c)

Horizontal velocity ux = 18.54 m/s remains const. as there is no force along horizontal.

after t vertical velocity v = u-gt = 29.68 -9.8*4 = -9.52 m/s

total velocity after 4s , V(4) = sqrt( 18.542 + 9.522 ) = 20.84 m/s

d) max height hmax = uy2/2g = 29.682 /2*9.8 = 44.94 m

e) range = time of flight * Horizontal vel = 6.06 *18.54 = 112.35 m

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