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The height $h,$ in feet, of a golf ball shot upward from a ground level sprint gun is described by the formula $h=-16 t^{2}+48 t$ where $t$ is the time in seconds. When will the ball hit the ground again?

3 $\mathrm{s}$

Algebra

Chapter 1

THE INTEGERS

Section 7

Quadratic Equations with Integral Roots

The Integers

Equations and Inequalities

Polynomials

Campbell University

Harvey Mudd College

Baylor University

Lectures

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So this word problem wants to know. When will the ball hit the ground again? So the ball hit the ground when the height equal zero. Therefore, when the Heid equal zero so zero equals negative 16 t squared plus 40 80. So, in orderto factor this in software T, I'm going to pull out the greatest common factor in the greatest comment. Minami on the right hand side. So the guy's coming factor between 16 and 48 that would be 16. So I'm gonna pull out a negative 16 and they both have a tea. So I'm gonna pull out the lowest degree, which is t so on inside we're left with tea and in minus three. So now we can just set both of these equal to zero so we can say And I gotta say, same teeth with zero and t minus three equals here. So this is just zero. And if we add three to both sides to you, certainty equals three. So t is the time in seconds and because it automatically starts at a height of zero at zero seconds, we're going to eliminate this option here. We really wanna bug is on when it will hit the ground again. They're or our answer is T equals three because we want to know when it hit the ground again, so t equals three complete circuits.

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