Neha swims in a 90 m long pool. She covers 180 m in
one minute by swimming from one end to the other
and back along the same straight path. Find the
average speed and average velocity of Neha.

speed in m/s is 3m/s

Explanation:

as she swims 90m in 30 seconds

dividing  90 by 30 will give 3m/s

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

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 .