Unformatted text preview: g = 32 . 2 ft/s 2 , directed in negative y direction. The key step in developing a mathematical model is to divide the trajectory into its horizontal and vertical components. The initial velocity can be divided in this way, as shown in ±igure 1.1. ±rom basic trigonometry, we know that v h = v cos θ v v = v sin θ ±igure 1.1: Initial velocity ( v ) divided into horizonal ( v h ) and vertical ( v v ) components. Given the horizontal and vertical components of the initial velocity, the horizontal and vertical positions can be determined as functions of time. Since there is no external force acting to retard the horizontal motion, the object will move at a constant speed of v h in the horizontal direction x ( t ) = vt cos θ In the vertical direction, the object motion is retarded by gravity and its position is y ( t ) = vt sin θ − 1 2 gt 2 5...
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This note was uploaded on 03/07/2010 for the course ENG 101 taught by Professor Chang during the Summer '09 term at 東京国際大学.
- Summer '09