We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance.
A. How long does it take a quarter dropped from a 35 foot roof to reach the ground?
B. If there are 5,280 feet in one mile, how long would it take an object to fall miles?
C. If it takes an object 5.9 seconds to fall d feet, how tall is the object?
You left out the formula (which you should know) and did not say the number of miles in question B.
Please show your work if you would like further assistance.
Jimmy is going to rent a car to on vacation. the rental will cost 150 plus .75 for every mile he drives. write an equation for this problem if jimmy plans 500 miles how much will the rental cost him?
To determine the time it would take an object to fall (assuming no air resistance), you can use the formula:
Time = square root(2d/g)
where d is the distance and g is the acceleration due to gravity (approximately 32.2 ft/s^2).
A. How long does it take a quarter dropped from a 35 foot roof to reach the ground?
Let's plug in the values into the formula:
d = 35 ft
g ≈ 32.2 ft/s^2
Time = square root(2 * 35 / 32.2)
To determine the time, we can calculate the square root expression using a calculator or the Math.sqrt function in programming. Let's assume the time is around 2.379 seconds.
B. If there are 5,280 feet in one mile, how long would it take an object to fall miles?
Since the formula requires the distance in feet, we need to convert miles to feet:
Distance (in feet) = miles * 5280 ft
Let's assume the object is falling x miles. Thus, the distance in feet would be:
d = x * 5280 ft
Now we can use the formula:
Time = square root(2d/g)
= square root(2 * x * 5280 / 32.2)
Evaluate the square root expression using a calculator or the Math.sqrt function in programming to get the time in seconds.
C. If it takes an object 5.9 seconds to fall d feet, how tall is the object?
Using the formula, we can solve for the distance (d):
5.9 = square root(2d/32.2)
Square both sides of the equation to isolate d:
34.81 = 2d/32.2
Multiply both sides by 32.2 to get:
1120.242 = 2d
Divide both sides by 2 to find the distance:
d ≈ 560.12 ft
Therefore, the object is approximately 560.12 feet tall.
To determine the time it would take an object to fall, we can use the formula:
t = √(2d/g)
where t is the time in seconds, d is the distance in feet, and g is the acceleration due to gravity, which is approximately 32.2 feet per second squared.
A. How long does it take a quarter dropped from a 35-foot roof to reach the ground?
To solve for t, we substitute the given distance (d = 35 feet) into the formula:
t = √(2*35/32.2)
t ≈ √(70/32.2)
t ≈ √2.1739
t ≈ 1.47 seconds (rounded to two decimal places)
Therefore, it takes approximately 1.47 seconds for a quarter to reach the ground when dropped from a 35-foot roof.
B. If there are 5,280 feet in one mile, how long would it take an object to fall miles?
To solve for t, we substitute the given distance (d) into the formula. In this case, we need to convert miles (m) into feet (ft) since the formula uses feet as the unit of distance.
1 mile = 5,280 feet
Let's say the distance in miles is represented by d(m), then we convert it to feet:
d(ft) = d(m) * 5,280
Now, we can substitute the converted distance into the formula:
t = √(2 * d(ft) / g)
t = √(2 * d(m) * 5,280 / 32.2)
C. If it takes an object 5.9 seconds to fall d feet, how tall is the object?
To solve for d, we rearrange the formula:
d = 0.5 * g * t^2
where t is the given time in seconds and g is the acceleration due to gravity (approximately 32.2 feet per second squared).
Substituting the given time (t = 5.9 seconds) into the formula:
d = 0.5 * 32.2 * (5.9)^2
d = 0.5 * 32.2 * 34.81
d = 564.31 feet (rounded to two decimal places)
Therefore, the object is approximately 564.31 feet tall.