Using the formula 4.9t^2... A object is dropped how long will it take it to fall 92 meters
d = 4.9t^2 = 92m,
4.9t^2 = 92,
t^2 = 92 / 4.9 = 18.78,
t = sqrt(18.78) = 4.3s.
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To find the time it takes for an object to fall using the formula 4.9t^2, where t represents time in seconds, you can follow these steps:
1. Set up the equation: 4.9t^2 = 92.
This is derived from the formula for the distance fallen by an object in free fall: d = 0.5gt^2, where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.
2. Rearrange the equation to solve for t. Divide both sides by 4.9:
t^2 = 92/4.9.
3. Take the square root of both sides to isolate t:
t = √(92/4.9).
4. Calculate the square root using a calculator or by using long division:
t ≈ √18.78.
5. Round the answer to an appropriate decimal place.
t ≈ 4.3372.
Therefore, it will take approximately 4.3372 seconds for the object to fall a distance of 92 meters.