SOLUTION: For an experiment in physics class, a water balloon is dropped from the window of the school building. The window is 40 ft high. How long does it take until the ballon hits the gro

Question 967354: For an experiment in physics class, a water balloon is dropped from the window of the school building. The window is 40 ft high. How long does it take until the ballon hits the ground? Round to the nearest hundredth.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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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