Phys2A_F07_Lecture_09

Phys2A_F07_Lecture_09 - W. P. Beyermann Fall 2007 1...

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Unformatted text preview: W. P. Beyermann Fall 2007 1 Projectile Motion constant = = x x v a Projectile an object that moves in two-dimensions under the influence of only the gravitational force. g a y = Uniform motion in the horizontal direction, and free fall motion in the vertical direction. Projectile Motion 1 W. P. Beyermann Fall 2007 2 W. P. Beyermann Fall 2007 3 Modification of Problem-Solving Strategy for Projectile Model, Visualize, Solve, Assess Solve The acceleration is known: and Thus the problem becomes one of kinematics. The kinematic equations are is the same for the horizontal and vertical components of the motion. Find from one component, then use that value for the other component. = x a . g a y = t v x x ix i f + = constant = = ix fx v v 2 2 1 ) ( t g t v y y iy i f + = t g v v iy fy = t t W. P. Beyermann Fall 2007 4 Simple Projectile Problem A projectile is launched at an angle from the horizontal with a velocity v . Neglect air resistance. a. How long does it take the projectile to reach its maximum height? b. What is the maximum height h ? c. How long does it take the projectile to hit the ground? d. What is the range R ? e. At what angle is the range a maximum? f. What is the maximum range? W. P. Beyermann Fall 2007 5 y x t x , v x y , v y t 1 x 1 , v 1 x y 1 , v 1 y t 2 x 2 , v 2 x y 2 , v 2 y v G a. How long does it take the projectile to reach its maximum height? ) ( 1 1 t t a v v y y y + = 1 sin gt v = g v t sin 1 = sin v v y = cos v v x = W. P. Beyermann Fall 2007 6 b. What is the maximum height h ?...
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This note was uploaded on 04/07/2008 for the course PHY 2A taught by Professor Beyermann during the Fall '08 term at UC Riverside.

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Phys2A_F07_Lecture_09 - W. P. Beyermann Fall 2007 1...

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