How much force is required (in Newton’s) to accelerate a 4-kg skateboard, along with its 46-kg rider, at 3m/s2?

150N

Explanation:

Total mass=mass of skate board + mass of rider

Total mass(m)=46kg + 4kg

Total mass(m)=50kg

Acceleration(a)=3m/s^2

Force(f)=mass x acceleration

Force=50 x 3

Force=150N

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 .