Consider the case of a projectile launched from level ground. Examples include:

Question

Consider the case of a projectile launched from level ground. Examples include: a golf ball hit from a tee on a level golf course, and a place-kicked football. Let us analyze the motion of the projectile to determine the following: (a) time to reach the maximum height, (b) the maximum height attained, (c) entire time of flight, (d) the range, and (e) the angle that gives the maximum range. For each case considered, investigate the motion of the projectile with the simulation at right. (a) Find the time to reach the maximum height. Use the y-motion, and note that at the point of maximum height, the y-component of velocity is zero. vy = v0y - gt The component vy is zero at the moment the projectile reaches the maximum height. 0 = v0 sin(?0) - gtymax tymax = Suppose that v0 = 50.0 m/s and ?0 = 50

Explanation / Answer

A projectile is any object that has been thrown, shot, or launched, and ballistics is the study of projectile motion. Examples of projectiles range from a golf ball in flight, to a curve ball thrown by a baseball pitcher to a rocket fired into space. The flight paths of all projectiles are affected by two factors: gravity and, on Earth at least, air resistance. How It Works The effects of air resistance on the behavior of projectiles can be quite complex. Because effects due to gravity are much simpler and easier to analyze, and since gravity applies in more situations, we will discuss its role in projectile motion first. In most instances on Earth, of course, a projectile will be subject to both forces, but there may be specific cases in which an artificial vacuum has been created, which means it will only be subjected to the force of gravity. Furthermore, in outer space, gravity

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