Projectile Motion

Projectile Motion - Projectile Motion (1) Introduction and...

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Projectile Motion (1) Introduction and Theory: Consider a projectile motion of a ball as shown in Fig. 1. At t = 0 the ball is released at the position (0, y 0 ) with horizontal velocity v x . Figure 1. The system of coordinates for the projectile motion. Because of the influence of a constant gravitational acceleration in the Y direction, the x and y components of motion, according to Newton’s laws of motion, are governed by the following equations: x = v x * t / 1 / y = y 0 – ½ * g * t 2 / 2 / where g = 9.81 m/sec 2 is the gravitational acceleration.
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This set of equations describes a kinematics model for projectile motion based on Newton’s first and second laws. There are two important facts to be noticed: (a) the distance the ball travels in the X direction is directly proportional to the time of flight; which is due to the fact that there is no force acting upon the ball in that direction, and (b) the distance the ball travels in the Y direction is proportional to the square of the time of flight, with the proportionality constant equal to one half of the
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This note was uploaded on 05/11/2008 for the course PHY 122 taught by Professor Fan during the Spring '08 term at ASU.

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Projectile Motion - Projectile Motion (1) Introduction and...

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