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.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min