SOLUTION: Hello! I'm having trouble with the following problem. I keep coming up with the answer t^2=61/4 but I don't know what to do further on. Can you help me solve this problem? Su

Question 196347: Hello!
I'm having trouble with the following problem. I keep coming up with the answer t^2=61/4 but I don't know what to do further on. Can you help me solve this problem?
Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is given by h = -16t 2 + h0, where h is measured in feet. Use this information to solve the problem.
If a ball is dropped from 244 ft above the ground, how long does it take to reach ground level?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

but you are given that

, so

You want to know the value of

when

, presuming you are considering the ground to be at a height of zero. So:

from which you obtained:

Simply take the square root of both sides. Under ordinary circumstances, you would consider both the positive and negative square roots. However, in this case the negative answer is absurd because the object most certainly did not hit the ground at some time before it was dropped.

61 being prime, this is the exact answer reduced to simplest terms. You can punch it in to a calculator to get a numerical approximation if you like -- should be right around 3.9 or so.

John

RELATED QUESTIONS
135=(n-2)x180/n Could someone please work this out in detail. It�s not the answer I... (answered by ikleyn,Alan3354)

Please help me. I keep coming up with the same answers, but they are not correct and I... (answered by richwmiller)

The following is the problem: The village was polygot. If the ratio of bilingual... (answered by funmath)

I am having trouble solving this equation. I am supposed to divide and simplify and can... (answered by ankor@dixie-net.com)

Rationalize the function and give its domain in interval notation: F(x) = {{{... (answered by josgarithmetic)

I am having trouble trying to factor the equation 3x^2+2x+2=0 I have tried various... (answered by ankor@dixie-net.com,richard1234)

I think my problem with these kinds of questions is that I�m having a hard time... (answered by jsmallt9)

Working together, a painter and the painter's apprentice can paint a room in 4h. Working... (answered by scott8148,stanbon)

For the following I keep coming up with the answer 2.25 (6+3/(9-7))/2 The answer is... (answered by Alan3354)