Agolf ball is hit from the ground into the air with an initial velocity of 64 ft/sec. how many seconds will it take for the golf ball to return to the ground of h=64t-16t^2 represents the height of the ball above the ground t sec after it is hit

Explanation:

Given a quadratic equation in its standard form:

It's roots can be found using the quadratic formula, given by:

That's what we need to do in this problem, because we need to know for what values of t h(t)=0:

In this case:

So:

We are not interested in the first solution t=0 because it is the time before  the golf ball is hit from the ground. The answer we look is the second solution t=4.

Therefore,  it takes 4 seconds to return to the ground.