A speed does not involve the element of direction.
Answer:
15.88m/s
Explanation:
At the top of the roller coaster you will have three forces acting on the roller-coaster. See the image below. Fc is the centripetal force (for an object in circular motion), Fg is the gravitational force, and Fn is the normal force. To achieve the minimum speed we assume the roller-coaster is barely touching the vertical loop and so the normal force is zero. This leaves two acting forces.

If the elevator was stationary, the scale would read exactly the weight of the person:

However, the elevator is moving with an acceleration a, so the scale reads a new value of the weight, which we call W'. Newton's second law becomes

where a' is actually the total acceleration of the person, so it's the sum of the acceleraion of the elevator and of the gravitational acceleration:

Taking the direction of g (downward) as the positive direction, we can find the value of a:


So, the acceleration of the elevator is

, with same sign of g, so it's directed downward as well.
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.
Answer:
gravity because its gravity and you fall and die