Seth worked 23.5 hours last week at Chick-fil-la. He earns $8.00 per hour. What were Seth’s earnings for last week?
2 answers:
You might be interested in
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.