# Particle moving under influence of a constant force is given by V =√|4-2X| where X is magnitude of displacement of the particle At t=0 initially the particle is noticed to be moving towards east.The distance travelled by the particle in first 5seconds is?

##### 1 Answer

**Total Distance Travelled**:

#### Explanation:

**Note**: The question fails to provide some necessary information. But it looks like it is an oversight error. Initial displacement of the body must be stated. Without that information it is not possible to solve this problem.

**Assumptions**: Assuming that

**Acceleration**: Force is mentioned as constant. So it would mean constant acceleration too.

**Equation of Motion (constant acceleration)**: Displacement is given by the equation -

We have to distinguish between distance travelled and displacement. Because the object has negative acceleration, it may turn around and start moving in the western direction.

First find the turn around time (

The distance travelled in this time is

After turning around the body will travel for another

When it reached the starting point its speed will be $2m/s$ pointing in the western direction. Now it will starts travelling in the western direction. Reset the initial velocity to

**Total Distance Travelled**: