Motion with constant accln help.

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The discussion revolves around a physics problem involving a missile fired vertically with an initial velocity of 84 m/s from a height of 70 m. The user initially misinterprets the problem, calculating two times when the missile is at the height of the tower instead of the time interval between those two instances. After clarification, it is noted that the correct approach is to subtract the two time values obtained from the quadratic equation to find the desired interval. The user realizes their mistake and thanks the respondent for the help. The final conclusion emphasizes the importance of correctly understanding the problem's requirements.
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This question is the first to pop out in the problems I'm supposed to do and I already have problems with it, so there must be a small little detail which i missed.

A missle is fired vertically upward with an initial velocity of 84m/s from a pt. level with a foot of a tower 70m high. Show that the time from when the missle is first level with the top of the tower until it is again level with the tower a 2nd time to be 15.4 seconds.

What i did was use s=ut-\frac{1}{2} gt^2 substituting, i get,

70=84t-1/2 gt^2

(are my signs correct)?

this is a quadratic equation and i get answers for time

t= 0.87837 , t= 16.25286236

the 2nd answer is greater than the given answer of 15.4 seconds. and the first is way too small. I got a feeling i set up the equation wrong. Can anyone help?

thanks.
 
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No, you read the problem wrong!

The problem does not ask for the time when the rocket is 70 feet high. It asks for the time interval BETWEEN the two times! Subtract!
 
OH ! i gettit, so i just take away the 2 answers i got. Thanks a lot !
 

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