# Two dimentional motion question

• Nikolayevitc
In summary, the conversation discusses a physics problem involving finding the velocity and acceleration of a particle given two position functions. It is mentioned that understanding the relationship between velocity and position, as well as acceleration and velocity, will be helpful in solving the problem.
Nikolayevitc
Hi everyone! I've just started to refresh my knoweldge of physics after a lot of time and I bumped into a question which I can't understand. I will really appreciate it if someone can solve and explain this thing for me. An image of the problem is attached to the thread. thx

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You're basically given two position functions that describe where the particle is at a given time and you have to find the velocity and acceleration of the particle given the position functions. Knowing that velocity is a derivative of position and that acceleration is a derivative of velocity will greatly help you in solving this problem.

## 1. What is two dimensional motion?

Two dimensional motion refers to the movement of an object in two different directions simultaneously, such as up and down or left and right. This type of motion is often studied in physics and can be described using mathematical equations.

## 2. What are the factors that affect two dimensional motion?

The factors that affect two dimensional motion include the initial velocity of the object, the forces acting upon it, and the angle at which the object is launched. Other factors may also include air resistance, gravity, and surface friction.

## 3. How is two dimensional motion different from one dimensional motion?

Two dimensional motion involves motion in two different directions, while one dimensional motion only involves movement in a single direction. This means that two dimensional motion is more complex and requires more mathematical equations to describe it.

## 4. What is the importance of studying two dimensional motion?

Studying two dimensional motion allows us to understand the behavior of objects in real-world scenarios, such as the trajectory of a baseball or the flight of a plane. This knowledge can also be applied to other fields, such as engineering and architecture, to design and create efficient and effective structures and systems.

## 5. How can we calculate the motion of an object in two dimensions?

In order to calculate the motion of an object in two dimensions, we use mathematical equations, such as the kinematic equations and Newton's laws of motion. These equations take into account the initial conditions and external forces acting upon the object to determine its position, velocity, and acceleration at any given time.

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