1401Lab3 - Projectile Motion In this experiment we will...

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Projectile Motion In this experiment we will study motion in two-dimensions. An object which has motion in both the X and Y direction has a two dimensional motion. We will first determine at what velocity the ball is being fired from the firing mechanism, and then with this knowledge and some calculations. Determine how far the ball will travel when it is fired at an angle other than the horizontal. Theory: In introductory physics courses, a projectile is an object which is given some initial velocity, v 0 , and thereafter, subjected only to gravity. This definition of a projectile assumes that no force due to air resistance is acting on the projectile. This assumption is approximately valid if the velocity of the projectile is relatively small (less than 10 meters/sec) and the cross-sectional area of the object is small, which will be the case in this experiment. Since gravity is the only force assumed to act on the object after it is given its initial velocity , the object will be in free-fall in the vertical direction, and will move with a constant velocity in the horizontal direction. Consider an object projected horizontally with a velocity, v ox , from some initial height, H, above the floor, as sketched below. The object will travel a horizontal distance, R, during the time it falls a vertical distance, H. Since the velocity in the horizontal direction is constant, R = v 0X t [1] Where t is the time that the object is in flight (which is also the time it takes the object to fall a distance H). In free fall, the vertical distance moved during a time interval, t, is given by the equation, y - y o = v oy t - (1/2)gt 2 [2] where y o is the initial position of the object, g is the acceleration due to gravity (about 9.8 m/sec 2 ), and v oy is the initial velocity of the object in the vertical (y) direction. In equation [2], “up” is taken as the positive direction, and “down” is H R v ox
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the negative direction. For the case of an object propelled horizontally, v
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1401Lab3 - Projectile Motion In this experiment we will...

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