qz1sol_1243Hs11 - 100 m A 5.00-m high fence is located 85.0...

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TA: Tomoyuki Nakayama Wednesday, January 26, 2011 PHY 2048: Physic 1, Discussion Section 1243H Quiz 1 (Homework Set #2) Name: UFID: Formula sheets are not allowed. Do not store equations in your calculator. You have to solve problems on your own; memorizing final algebraic expressions from homework assignments and just plugging numbers into them will not give you full credit. Leave all your work. ________________________________________________________________________________ A batter hits a pitched ball when the center of the ball is 0.500 m above the ground. The ball leaves the bat an angle of 30.0º with the ground. With that launch, the ball should have a horizontal range of
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Unformatted text preview: 100 m. A 5.00-m high fence is located 85.0 m horizontally form the launch point. a) What is the magnitude of the ball’s initial velocity? The equation for horizontal range yields R = (v 2 /g)sin2 θ ⇒ v = √ (Rg/sin2 θ ) = 33.64 m b) At the fence, what is the distance between the fence top and the ball center? The x and y components of the initial velocity are v 0x = v cos θ = 29.13 m/s, v 0y = v sin θ = 16.82 m/s The ball reaches the position of the fence at Δ x = v 0x t t = Δ x/v 0x = 2.918 s At this moment, the height of the ball is y(t = 2.918 s) = y + v 0y t – (1/2)gt 2 = 7.86 m Therefore, it is 2.86 m (=7.86 – 5) above the fence....
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