Quiz%203%20solutions(1) - 2 1 2 y sin y = and finally ( 29...

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Student name________________________________________ Student NID________________________________________ PHY 2053C_0001 Quiz, Feb. 2, 2011 1) A ball is thrown upward at a speed v 0 at an angle of 60 o above the horizontal. It reaches a maximum height of 5.5 m. How high would this ball go if it were thrown straight upward at the same speed v 0 ? 2 2 y 0 y y v v 2a y = + At the highest point y v 0 = . Also, 0 y 0 v v sin θ = . Therefore, for the 1 st case (thrown at angle θ ) 2 2 0 1 v sin 2gy - = (1) When thrown straight upward, = 90 o , sin = 1, and hence 2 0 2 v 2gy - = (2) Divide (1) by (2) to obtain:
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Unformatted text preview: 2 1 2 y sin y = and finally ( 29 1 2 2 2 o y 5.5m y 7.3m sin sin60 = = = 2) A diver runs horizontally with a speed of 1.20 m/s off a platform that is 10.0 m above the water. What is his speed just before striking the water? The x component of velocity is v x = 1.2 m/s and is constant The y component of velocity satisfies the following: ( 29 ( 29 2 2 2 2 2 y 0 y y m m v v 2a y 2 9.8 10m 196 s s = + = + = The final speed is: 2 2 x y v v v 1.44 196 14.05m / s = + = + =...
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