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Objective: To identify whether positive, negative, or zero work is being done, to identify the force that is doing the work, and to describe the energy transformation associated with such work.

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Projectile Range

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Analyze trajectory plots to determine basic information such as the maximum height and the range.

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Compare the trajectory plots for projectiles having different launch speeds and launch angles in order to make claims regarding how much higher or further a projectile traveled.

Investigate the variables that affect the range of an angle-launched projectile.

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Compare the trajectory plots for projectiles having different launch speeds and launch angles in order to determine basic patterns.

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Range of a Projectile A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The launch angle of a projectile is the angle between the horizontal direction and the launch direction. The trajectory plot in Figure 1 shows the path of a projectile launched with a launch speed of 25.0 m/s at a launch angle of 45°. The trajectory plot of a projectile looks the same regardless of the launch angle. The shape of the trajectory can be described as a parabola. Figure 2 represents the trajectory plot for three different launch angles for a projectile launched at 25.0 m/s. The range is the distance traveled horizontally from the launch position to the landing position. The range of an angled-launch projectile depends upon the launch speed and the launch angle. Figure 3 illustrates the effect of launch angle on a projectile’s range for three different launch speeds.

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