If a golf ball is hit with an initial velocity of 128 feet per second, its height

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If a golf ball is hit with an initial velocity of 128 feet per second, its height can be calculated according to the formula

\[y=128 t-16 t^{2}\]

where \(t\) is the length of time (in seconds) after the golf ball is hit (see Figure 15.48).

Figure 15.48

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The trajectory of a projectile is its path and is determined by knowing the forces acting on the projectile or by a formula determined by those forces. Sketch the golf ball's trajectory by letting \(t=0,1,2, \cdots, 7,8\) for the given equation.
Connect these points with part of a parabola.

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