HW05Sol - Jim Guinns PHYS2211 Assignment #5 Solutions These...

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These problems are not to be turned in. They are for your practice for the exam. (You’re welcome!) 1. While golfing, Haile hits a ball from the ground, at an angle of 12.0 o above the horizontal and an initial speed of 55.0m/s . Ignore air resistance. a.) How far horizontally does the ball fly before hitting the ground? First we draw a diagram. Next, we set the origin of our coordinate system at the ball's initial position with upward and to the right as positive. This is arbitrary and you could choose any point you want. Then, think about what you know, what you don't know, and what you want to know. Although it's not given explicitly, we have that v xo = 55.0m/s cos12.0 o = 53.8m/s , and v yo = 55.0m/s sin12.0 o = 11.4m/s . When the ball lands, y = 0, so we can solve for the time, y = 0 = y o + v yo t + (1/2) a y t 2 = 0 + (11.4m/s) t - (4.90m/s 2 ) t 2 , or (4.90m/s 2 ) t 2 - (11.4m/s) t = 0 . We can solve this using the quadratic equation, or notice that if t ≠ 0 (t = 0 is the initial condition), we can divide off one factor of "t", so (4.90m/s 2 ) t – 11.4m/s = 0 , or t = (11.4m/s) / (4.90m/s 2 ) = 1.16s . 12.0
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HW05Sol - Jim Guinns PHYS2211 Assignment #5 Solutions These...

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