Starting from rest a car travels a distance 60km at a uniform acceleration of 2ms-2. How much time it takes?

t = 30000  seconds

Explanation:

Given that,

Initial velocity of the car, u = 0

Final velocity of the car, v = 60 km = 60000 m

The acceleration of the car, a = 2 m/s²

W need to find the time taken by the car. The acceleration of the object is given by :

or

So, the required time is 30000  seconds.

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 .