Question

the quadratic function h(t)=-16.1t^2+150 models a ball's height,in feet,over time,in seconds,adlfter it is dropped from a 15 story buliding. From what height in feet was the ball dropped? After how many seconds, rounded to the nearest hundredth, did the ball hit the ground?

Answer 1

First, set the equation to 0, which looks like this:

0 = -16.1t^2 + 150

Then, you subtract the 150 and move it over to zero. Subtract those two and the equation looks like this:

-150 = -16.1t^2

Divide the equation, and it looks like this:

0.01 = t^2

Square root the equation and the answer is:

t = 0.1

So, basically 0.1 seconds.