Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
1 answer:
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For this case we have the following expression:
We must find the value of the expression when:
Substituting we have:
Finally, the value of the expression is:
ANswer:
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
---- the rate
First, we calculate the vertical distance (y) using tangent ratio
Substitute 100 for x
Differentiate both sides with respect to time (t)
Substitute values for the rates and
This gives
Divide both sides by 2
Hence, the rate of change between you and the ball is 0.01 rad per second
Read more about related rates at:
Answer: The answer is 0.25 miles.
Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.
Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.
In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.
In 1 minute, distance travelled by my friend is
Therefore, distance travelled by my friend in 5 minutes will be
Thus, the answer is 0.25 miles.