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midterm exam 1 solutions

# Physics for Scientists and Engineers (3rd Edition)

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PHY131 Midterm-I Exam February 26, 2003 Solutions 1) (20 points) A soccer player kicks the ball at an angle θ of 40 ο with respect to the level playing field. The ball travels a horizontal distance of 45 m before hitting the ground. (Hint: the trigonometric identity ) 2 sin( sin cos 2 θ θ θ = might be very useful here!) a) Determine the initial speed of the ball at t = 0. v 0 θ x y 0 d s m gd v g v g v t v t x d g v g v t gt t v t y t v t v t x d d y d y x 2 . 21 ) 2 sin( ) 2 sin( ) sin( ) cos( 2 ) cos( ) ( ) sin( 2 2 0 2 1 ) ( ) cos( ) ( 0 2 0 2 0 0 0 0 2 0 0 0 = = = = = = = = = = = = θ θ θ θ θ θ θ b) When does the ball hit the ground? s g v t d 78 . 2 ) sin( 2 0 = = θ c) What is the ball’s velocity vector at maximum height? s m v v v s m v x x y 2 . 16 ) cos( 0 0 0 = = = = θ d) What is the acceleration vector at t = 0, at maximum height, and when the ball hits the ground? cases three all for 0 2 g a s m a y x = =

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2) (20 points) During last week’s snowstorm, you were worried about parking your car in your driveway, which has an incline of 12 o . Your neighbor John’s driveway has an incline of 9.0 o , and Jill’s driveway across the street has an incline of 6.0
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midterm exam 1 solutions - PHY131 Midterm-I Exam Solutions...

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