The water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters). If v Subscript x is constant at 10.0 m/s, find the resultant velocity at the point left parenthesis 9.0 comma 2.0 right parenthesis .

The resultant velocity is 12.21 m/s.

Step-by-step explanation:

We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters).

Also, v Subscript x is constant at 10.0 m/s.

The water from a fire hose follows a path described by the following equation below;

The velocity of the component is constant at =  

and the point at which resultant velocity has to be calculated is (9.0,2.0).

Let the velocity of x and y component be represented as;

Now, differentiating the above equation with respect to t, we get;

Now, putting in the above equation;

= 7 m/s

Now, the resultant velocity is given by =

                               = = 12.21 m/s

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24