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A raindrop falls to the ground from a rain cloud at an altitude of 3125 meters. If there were no air resistance, how long would it take to fall?

Answer :

Final answer:

A raindrop falling from a cloud at an altitude of 3125 meters with no air resistance would take approximately 25.3 seconds to hit the ground, calculated using the equation for uniformly accelerated motion without air drag factors.

Explanation:

The question is asking how long it would take for a raindrop to fall to the ground from a rain cloud at an altitude of 3125 meters if there was no air resistance. To solve this problem, we can use the kinematic equation for uniformly accelerated motion since gravity is the only force acting on the raindrop (assuming no air drag).

The equation we use is:

distance = 0.5 * acceleration * time^2

Where:

  • distance = 3125 meters
  • acceleration = 9.81 m/s^2 (acceleration due to gravity)

We need to rearrange the equation to solve for time (t):

t^2 = (2 * distance) / acceleration

and then take the square root to get:

t = sqrt((2 * distance) / acceleration)

Therefore, the time it would take the raindrop to fall is:

t = sqrt((2 * 3125) / 9.81)

After calculating, we find that t is approximately 25.3 seconds.

Learn more about free fall time calculation here:

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Rewritten by : Barada

Answer:

The answer would be:

Explanation:

25.54 sec.

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