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A student holds a water balloon outside of an open window and lets go. The window is 10 meters above the ground, and the balloon is falling under the acceleration of gravity, which is 9.8 m/s2. There are two equations that can be used to describe its motion over time:

x=x0+v0t+12at2
v=v0+at
Would the balloon hit the ground before or after 1.0 s of falling? Which equation did you use to decide, and what comparison did you make to determine that it would or would not hit the ground by then?

Use 3–5 sentences to explain your reasoning.

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The first eqn will be used,

x = x0 + v0t + 1/2at²

where, x = distance

a = uniform acceleration

t = time

12 = 1/2*9.8 *t²

24 = 9.8 * t²

t = 1.56 s.

The balloon will hit the ground after 1.0s of falling.

The 1st eqn was used because of the values provided which were the distance and the acceleration due to gravity. The 2nd eqn has final velocity and initial velocity which couldn't be compared from the data given.

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