SOLUTION: Betsy King, one of the champions of women's golf hit a ball with an initial velocity of 100 feet per second. The distance that a golf ball travels is found by the formula {{{d=((Vo

Algebra ->  Trigonometry-basics -> SOLUTION: Betsy King, one of the champions of women's golf hit a ball with an initial velocity of 100 feet per second. The distance that a golf ball travels is found by the formula {{{d=((Vo      Log On


   



Question 883405: Betsy King, one of the champions of women's golf hit a ball with an initial velocity of 100 feet per second. The distance that a golf ball travels is found by the formula d=%28%28Vo%5E2%29%2Fg%29sin2%28theta%29 where Vo is the initial velocity, g is the acceleration due to gravity and theta is the measurement of the angle that the initial path of the ball makes with the ground. The acceleration due to gravity is 32ft+sec%5E2.
a) Write an expression for the distance the ball travels in terms of theta.
b) Find the distance Ms. King's ball travelled if the angle between the initial path of the ball and the ground measured 60°.

Found 2 solutions by cigany29, Alan3354:
Answer by cigany29(23) About Me  (Show Source):
You can put this solution on YOUR website!
wrong equation

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
d=%28%28Vo%5E2%29%2Fg%29sin%282theta%29 2*theta
************ g = 32 ft/sec^2 *************
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a) Write an expression for the distance the ball travels in terms of theta
That is the distance in terms of theta.
Vo and g are constants.
Sub for them if you want.
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b) Find the distance Ms. King's ball travelled if the angle between the initial path of the ball and the ground measured 60°.
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d=%28%28Vo%5E2%29%2Fg%29sin%282theta%29
d=%28100%5E2%2F32%29sin%28120%29
d=%2810000%2F32%29%28sqrt%283%29%2F2%29
d =~ 135 feet