The water from a fire hose follows a path described by y equals 3.0 plus 0.8 x minus 0.40 x squared (units are in meters). if v subscript x is constant at 5.0 m/s, find the resultant velocity at the point left parenthesis 2.0 comma 3.0 right parenthesis .

Explanation:

It is given that, the water from a fire hose follows a path described by equation :

........(1)

The x component of constant velocity,

We need to find the resultant velocity at the point (2,3).

Let and

Differentiating equation (1) wrt t as,

When x = 2 and

So,

Resultant velocity,

v = 6.4 m/s

So, the resultant velocity at point (2,3) is 6.4 m/s. Hence, this is the required solution.

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