# Solving a Motion Problem in 2 Dimensions

• rishiraj20006
In summary, the conversation discusses a problem of motion in 2 dimensions where a man needs to cross a river with a length of 100m. The man has a velocity of 10m/s in still water while the river has a velocity of 20m/s. The question asks for the angle the man should make with the flow of the river in order to minimize his displacement from his initial starting point. The concept of maximum and minimum is expected to be used, specifically in terms of vectors. Further assistance is offered if needed, with a reminder to approach the problem in a vector context.
rishiraj20006
Frendz , here is a problem of motion in 2 dimensions. I simply stuck in basics .

A man wants to cross a river 100mt long He has a velocity of 10m/s in still water and river has a velocity of 20m/s. What angle should he make with flow of river so that displacement from where he started initially should be minimum?

I guess some concept of maximum and minimum will be used here but I don’t know how to apply

Think of this in terms of vectors. I think the question is asking for the man's down-river vecocity to be 0 and his velocity across the river to be a maximum. Let us know if you need further assistance.

No need to shout. This is not a projectile question but instead a vector question. Resolve the rivers vectors horizontally and vertically first.

## 1. How do you define 2-dimensional motion?

2-dimensional motion is the movement of an object in two perpendicular directions, typically represented by the x and y axes. This type of motion involves both horizontal and vertical displacement.

## 2. What is the difference between distance and displacement in 2D motion?

Distance is the total length an object travels in a given direction, while displacement is the straight-line distance between the starting and ending points of an object's motion. In 2D motion, displacement takes into account both horizontal and vertical components of an object's movement.

## 3. How do you calculate the velocity of an object in 2D motion?

The velocity of an object in 2D motion is calculated by dividing the total displacement by the total time taken. This gives the average velocity, which includes both the magnitude and direction of the object's motion.

## 4. What factors affect the motion of an object in 2D?

The motion of an object in 2D is affected by various factors such as the initial speed and direction of the object, external forces acting on the object (such as gravity or friction), and the presence of other objects in its path.

## 5. How do you solve a 2D motion problem using equations of motion?

To solve a 2D motion problem, you can use the equations of motion, which relate an object's displacement, velocity, acceleration, and time. By plugging in known values and using algebraic manipulation, you can solve for the unknown variables and determine the object's motion in 2D.

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