Why is the fact that even while turning at a constant speed, there is still a changing velocity and thus and acceleration? With respect to these ideas please give some real world examples from your everyday life.

As mentioned earlier in Lesson 1, an object moving in uniform circular motion is ... The velocity vector is constant in magnitude but changing in direction. ... then the speed is neither decreasing nor increasing; therefore there must not be an ... But the fact is that an accelerating object is an object that is changing its velocity.With the change of velocity acceleration changes .But when speed is constant there is no change in the direction and thus the velocity is constant. ... Won't the body keep accelerating constantly (even if the force is not constant) if there's ... So if a body suppose it is moving with 10m/s turns right and is still moving with 10m/s .

Explanation:

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 .