When the acceleration of a mass on a spring is zero, the velocity is at a

When a mass is connected to a spring then it will perform to and fro motion

Its velocity and acceleration is given by the equations

so here from above equations we can say that if object moves away from its mean position then its velocity will decrease and as it reached to the extreme end its velocity will become zero

while at mean position the velocity will be maximum

Similarly for acceleration we can see that its magnitude will be maximum at extreme position and it will be minimum as object will reach to mean position

So at extreme position velocity will be zero while the acceleration is maximum

answer: what are you talking about?

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 .