Which of the following expressions represents the total earnings of a commissioned employee earning 9.5% commission with sales o
2 answers:
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Remember that Distance = (Average speed)(Time)
Let x be the distance between Detroit and Columbus.
We know the journey from Detroit to Columbus took a time t, and the returning trip took a time t+
. We also know the Average speed of both journeys, so now we can set our equations:
Now, we can replace equation 1 into equation 2 to find t:
Now that we know t, we can replace it into our equation 1 to get the distance:
We can conclude that the distance between Detroit and Columbus is 220 miles. <span />
Let x be the distance between Detroit and Columbus.
We know the journey from Detroit to Columbus took a time t, and the returning trip took a time t+
Now, we can replace equation 1 into equation 2 to find t:
Now that we know t, we can replace it into our equation 1 to get the distance:
We can conclude that the distance between Detroit and Columbus is 220 miles. <span />
Answer:
(a) 2 feet.
(b) 2 feet.
Step-by-step explanation:
We have been given that the velocity function in feet per second, is given for a particle moving along a straight line.
(a) We are asked to find the displacement over the interval .
Since velocity is derivative of position function , so to find the displacement (position shift) from the velocity function, we need to integrate the velocity function.
Using power rule, we will get:
Therefore, the total displacement on the interval would be 2 feet.
(b). For distance we need to integrate the absolute value of the velocity function.
Since square root is not defined for negative numbers, so our integral would be .
We already figured out that the value of is 2 feet, therefore, the total distance over the interval
would be 2 feet.