Asperm whale can accelerate at about 0.080 m / s2 when swimming on the surface of the ocean. how far will a whale travel if it starts at a speed of 1.0 m / s and accelerates to a speed of 2.57 m / s? assume the whale travels in a straight line.

we need to know the time interval during which the force acts. impulse of force = momentum change

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 .