qz2sol_7193f10 - We take y direction upward The projection...

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TA: Tomoyuki Nakayama Monday, September 13, 2010 PHY 2048: Physic 1, Discussion Section7193 Quiz 2 (Homework Set #3) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ During a tennis match, a player serves the ball with an initial velocity of 40.0 m/s at an angle of 3.00º below the horizontal, with the center of the ball leaving the racquet 2.50 m above the court surface. The net is 13.0 m away and 0.850 m high. a) Suppose the ball leaves the racquet at t = 0, at what time does the ball reach the net?
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Unformatted text preview: We take +y direction upward. The projection angle is θ = -3º. The x and y components of the initial velocity is v 0x = v cos θ = 39.9 m/s, v 0y = v sin θ = -2.09 m/s The ball reaches the position of the net when the horizontal displacement is d = 13 m. We get d = v 0x t ⇒ t = d/ v 0x = 0.326 s b) When the ball reaches the net, what is the distance between the center of the ball and the top of the net? When the ball reaches the location of the net, the height of the ball is y(t = 0.326 s) = y + v 0y t – (1/2)gt 2 = 1.30 m. The distance between the ball and the top of the net is 1.30 – 0.85 = 0.45 m...
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