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A hot air balloon is hovering at a height of 52 m above the ground a penny is dropped from the balloon assume no air resistance how long does it take the penny to hit the ground?

User NB Fouda
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1 Answer

2 votes

Step-by-step explanation:

We can use the kinematic equation for free-fall motion to find the time it takes for the penny to hit the ground:

h = 1/2 * g * t^2

where h is the height of the hot air balloon (52 m), g is the acceleration due to gravity (9.81 m/s^2), and t is the time it takes for the penny to hit the ground (which we want to find).

Solving for t, we get:

t = sqrt(2h/g)

Substituting the given values, we get:

t = sqrt(2 * 52 m / 9.81 m/s^2)

t = sqrt(10.5871 s^2)

t ≈ 3.26 seconds (rounded to two decimal places)

Therefore, it takes approximately 3.26 seconds for the penny to hit the ground.

User Absinthe
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