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(3%) Problem 23: A golf ball is hit from ground level on a horizontal fairway the initial velocity vo = vo,z i + vo,y

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(3%) Problem 23: A golf ball is hit from ground level on a horizontal fairway the initial velocity vo = vo,z i + vo,y j =(21.7 m/s) + (8.1 m/s); Throughout its trajectory, the golf ball encounters a strong wind which causes the ball to experience an acceleration in the horizontal direction with a magnitude of 1.78 m/s. A Cartesian coordinate system with the origin at the ball's initial position is shown in the figure. T 25% Part (a) Calculate the maximum height, hmax, in meters, that the ball achieves. hmax = 3.364 m Correct! >25% Part (b) How long, in seconds, is the ball in the air before it returns to the ground? ttotal 1.652 s Correct! = 25% Part (c) Describe the ball's horizontal position as a function of time, x(t), in terms of time, t, the initial velocity components, vo,z acceleration due to the wind, a wind, and the acceleration due to gravity, g. This function is valid for the duration of the ball's time in the air. x(t) = Vox + ( 1/2 ) ( - a wind) t Correct! 25% Part (d) Calculate the horizontal distance, max: in meters, the ball travels before it returns to ground level. Tmax 1.652 m sin cos() tan() () cotan asin() acos() atan acotan() sinh / * E^4 1 2 3 7 8 9 HOME 5 6 = - cosh() tanh() cotanh() Degrees Radians + - 0 VO BACKSPACE Submit Hint Feedback I give up! wind and vo,y= the Grade Summary Deductions 09 100% Potential Submissions Attempts remaining: 99 (0% per attempt) detailed view END 1 2 DEL CLEAR 0% 0%

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