Example 7  The Range of a Kickoff

For the motion shown in Figure 3.12 and discussed in Examples 5 and 6, ignore air resistance and calculate the range R of the projectile.

Reasoning  The range is a characteristic of the horizontal part of the motion. Thus, our starting point is to determine the horizontal component of the initial velocity:

Recall from Example 6 that the time of flight is . Since there is no acceleration in the x direction, vx remains constant, and the range is simply the product of and the time.

Solution The range is



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