A motorcycle with a mass of 100kg, slowly rolls over the edge of a cliff and falls for 3 seconds before it reaches the bottom of a gully. Its momentum (in units of Kilogram meters per second) just before it hits bottom and became burned rubber and scrap metal wasA 4000B 1000c 3000D 9000

The momentum just before it hits bottom is 3000 kg-m/s.

Explanation:

Given that,

Mass of the mototcycle, m = 100 kg

Is slowly rolls over the edge of a cliff and falls for 3 seconds before it reaches the bottom of a gully. We know that the rate of change of linear momentum is proportional to the applied external force. So,

P is momentum

Here, F = mg

So, the momentum just before it hits bottom is 3000 kg-m/s. Hence, this is the required solution.

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 .