A tee box is 128 feet above its fairway. When a golf ball is hit from the tee box with an initial vertical velocity of 32 ft/s, the quadratic equation 0=-16t^2+32t+128 gives the time in seconds when a golf ball is at height 0 fee on the fairway solve the quadratic equation by factoring to see how long the ball id in the air

Given:

A tee box is 128 feet above its fairway. When a golf ball is hit from the tee box with an initial vertical velocity of 32 ft/s, the quadratic equation gives the time in seconds when a golf ball is at height 0 feet on the fairway.

We need to determine the time that ball is in the air.

Time taken:

The time can be determined by factoring the quadratic equation.

Thus, we have;

Let us solve the equation using the quadratic formula,

Substituting in the above formula, we get;

Thus, the roots of the equation are

and

     and

      and

Since, the value of t cannot be negative, thus, the value of t is

Hence, the ball is in the air for 4 seconds.

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step-by-step explanation: