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A gymnast falls from a trapeze while doing a stunt. Assuming she is in free fall, how far will she have fallen in 0.3 seconds?

Answer :

Final answer:

Using the formula for distance in free fall, d = 0.5 * g * t^2, and considering 'g' as the acceleration due to gravity and 't' as the free fall time, the gymnast will fall approximately 0.441 meters or 44.1 cm in 0.3 seconds.

Explanation:

In order to calculate the distance fallen during free fall, we utilize the physics formula for distance covered in free fall, given by the equation d = 0.5 * g * t^2, where 'd' is the distance, 'g' is the acceleration due to gravity (approx. 9.8 m/s^2 on Earth), and 't' is the time of free fall. Here, the gymnast is in free fall for 0.3 seconds. Applying these values into the equation:

d = 0.5 * 9.8 m/s^2 * (0.3s)^2Upon simplifying this, we find that the distance the gymnast would have fallen in 0.3 seconds is approximately 0.441 meters, or 44.1 cm. Please note that this calculation is an approximation and assumes no air resistance or other factors that could influence the fall.In free fall, an object accelerates at a constant rate due to gravity. The formula to calculate the distance fallen is given by d = 0.5 * g * t^2, where d is the distance fallen, g is the acceleration due to gravity, and t is the time in seconds. In this case, we can assume that g is approximately 9.8 m/s^2. Plugging in the values, we get d = 0.5 * 9.8 * (0.3)^2 = 0.441 m.

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