Abicycle traveled 150 meters west from point a to point b. then it took the same route and came back to point a. it took a total of 2 minutes for
the bicycle to return to point a. what is the average speed and average velocity of the bicycle?
a.
the average speed is 2.5 meters/second, and the average velocity is
2.5 meters/second east.
b.
the average speed is 0 meters/second, and the average velocity is
2.5 meters/second east.
c. the average speed and average velocity are both 0 meters/second.
d.
the average speed is 2.5 meters/second, and the average velocity is
o meters/second.

Option D.  The average speed is 2.5 meters/second, and the average velocity is  0 meters/second.

Explanation:

we know that

To find out the average speed divide the total distance by the total time

Let

d -----> the total distance in meters

t -----> the time in seconds

s ----> the speed in meters per second

Remember that

we have

substitute

Find out the average velocity

To find out the average velocity divide the displacement) by the time

The displacement is the distance from the start point to the end point regardless of the route

In this problem

The start point is A and the end point is A

so

The displacement  is equal to zero

therefore

The average velocity is 0 m/sec

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

you can cut your hand off if your not