Question

What is her acceleration assuming she is already moving in the direction of ftot in m/s²?

Answer 1

The acceleration of the object, assuming it is already moving in the direction of ftot, is X m/s².

Step-by-step explanation:

To determine the acceleration of the object moving in the direction of ftot, we need to consider the forces acting on it. Acceleration is defined as the net force acting on an object divided by its mass (a = F/m). If the object is already in motion in the direction of ftot, we can assume that the applied force and frictional forces are balanced, resulting in a net force of zero. Therefore, the acceleration in this scenario is zero meters per second squared.

Mathematically, this can be expressed as follows:

`\[ a = \frac{F_{\text{net}}}{m} \]`

`Since \( F_{\text{net}} \) is zero, the acceleration (\( a \)) is also zero.`

It's crucial to understand that acceleration is the rate of change of velocity, and in this case, the velocity remains constant. In the absence of a net force, there is no change in velocity, and thus, the acceleration is zero.

This conclusion aligns with the object's initial state of already moving in the direction of ftot, indicating a state of equilibrium between the forces acting upon it.