Use the formula t = (0.25) s1/2 to find the time t in seconds it will take a stone to drop a distance s of 200 feet. Round your answer to the nearest tenth of a second.
well, use the formula. what do you get?
To find the time it will take for a stone to drop a distance of 200 feet using the formula t = (0.25) s^(1/2), where s represents the distance in feet:
1. Begin by substituting the given value of s into the equation:
t = (0.25) (200)^(1/2)
2. Calculate the square root of 200 by using a calculator or mathematical software:
200^(1/2) ≈ 14.1421356237
3. Substitute the calculated square root value into the equation:
t = (0.25) (14.1421356237)
4. Multiply the values inside the parentheses:
t ≈ 3.5355339059
5. Round the answer to the nearest tenth of a second:
t ≈ 3.5 seconds (rounded to the nearest tenth).
Therefore, it will take the stone approximately 3.5 seconds to drop a distance of 200 feet.
To find the time (t) it will take a stone to drop a distance (s) of 200 feet, we can use the formula:
t = (0.25) * sqrt(s)
Plugging in the given value for "s" as 200:
t = (0.25) * sqrt(200)
First, let's find the square root of 200:
sqrt(200) ≈ 14.142
Now, substitute this value back into the equation:
t = (0.25) * 14.142
t ≈ 3.5355
Rounding this answer to the nearest tenth of a second, the time it will take the stone to drop a distance of 200 feet is approximately 3.5 seconds.