<PRE><B>Question 967354</B>
the distance is 40 feet.
the formula is d = gt^2/2
d = 40
g = 9.8 meters per second squared.
9.8 meters is equivalent to 32.1522
g = 32.1522 feet per second squared.
t is what you want to find.


formula becomes:
40 = 32.1522 * t^2 / 2
solve for t^2 to get t^2 = 2 * 40 / 32.1522.
solve for t to get t = sqrt(2*40/32.1522) = 1.577392045.


the balloon will take 1.577392045 seconds to hit the ground.


solve for d in d = g * t^2 / 2
formula becomes:
d = 32.1522 * (1.577392045)^2 / 2 = 40


if we did it right, your answer is 1.577392045 seconds.


round to the nearest hundredth and the answer is 1.58 seconds.

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