Question
Round to 2 decimal places when needed. The velocity of an object dropped from a height of his given by the function V= sqrt (2gh) where gi is the gravitational constant, 32.2ft/s^2 . If an object is dropped from the roof of a building that is 1000 it tall, how fast is it traveling when it hits the ground?
Answer
4.1
(184 Votes)
Hannah
Professional · Tutor for 6 years
Answer
The velocity of the object when it hits the ground is approximately 80.50 ft/s.
Explanation
## Step 1:We are given the formula for the velocity of an object dropped from a height
, which is
, where
is the gravitational constant and
is the height from which the object is dropped.## Step 2:We are given that
ft and
ft/s². We need to substitute these values into the formula to find the velocity
when the object hits the ground.## Step 3:Substitute the given values into the formula, we get
.## Step 4:Perform the multiplication and square root operations to find the value of
.## Step 5:Round the calculated value to two decimal places as instructed in the question.