SOLUTION: I'm learning about the Zero Product Property but I cannot figure out how to use it with this equation: h = 151t - 16t^2. It says to replace h as zero but I dont know how to do the

Question 1014877: I'm learning about the Zero Product Property but I cannot figure out how to use it with this equation: h = 151t - 16t^2. It says to replace h as zero but I dont know how to do the rest. If you can help me please and add the steps so I know could learn, it would be much appreciated.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
h = 151t - 16t^2.
-16t^2+151t=0
t(-16t+151)=0 by factoring.
This equals 0 if t=0 OR
if -16t+151=0
the latter is -16t=-151
divide both sides by -1
16t=151
t=9.4375.
By replacing h with 0, you have a product of two factors that equals 0. This occurs when one or the other factors is 0, and that gives two solutions in this instance. One is the trivial solution 0, and the other is at 9.4375. Here is the graph, and it is the motion of a projectile fired at 150 ft/sec from the ground.

RELATED QUESTIONS
My problem involves solving quadratic equations using the zero product property. I... (answered by scott8148)

I really need help on learning how to use the Zero Product Property to solve problems... (answered by Theo)

Please help me solve this quadratic equation: {{{3x^2=8x+4}}} I am in college algebra.... (answered by solver91311,fcabanski)

We are learning about functions and linear functions. The question is about depreciation. (answered by stanbon)

A baseball is hit from a height of four feet off the ground. Its height 'h' (in feet)... (answered by richwmiller)

How do I find when an object hits the ground using the equation: -16t^2 +560t. I know... (answered by ewatrrr,stanbon,CharlesG2)

Write an equation for the parabola with the vertex (1,3) that passes through (-2,-15). (answered by nerdybill)

Hi PLEASE HELP ME!! I really do NOT know what i'm doing!! I need HELP! Help would be... (answered by stanbon)

I cannot figure out the equation to calculate the following question. If two workers are... (answered by Fombitz)