7. a 1.0-kg box accelerates from rest in a straight line across a frictionless surface for 20. s as depicted in the force vs. time graph to the right. (a) find the time taken for the object to reach a speed of 5.0 m/s b)determine the boxes velocity at the 15s time

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 .