How to solve kinematics problems

How to solve kinematics problems

Hi, all here in this article I am giving some tips and tricks to solve kinematics problems. To master problem-solving skill you need to practice more and more problems as said practice makes a man perfect. Look at examples in your textbooks identify the steps and then try solving out problems on your own.
Kinematics is the branch of physics that deals with motion and physical quantities like distance, displacement, speed, velocity, and acceleration. Here in kinematics we analyze motion but do not take into account the causes of motion.

Kinematics Equations for Constant Acceleration


If you are trying to solve kinematics problems you must understand the Kinematics Equations for Constant Acceleration. These equations can prove handy while solving problems. These equations are
These equations only work for motion with constant acceleration. Most of the problems you encounter would involve motion with constant acceleration.

Additional reading: Acceleration Formula


1-Dimension Problem solving steps


You can follow through following steps to solve 1D kinematics problems

  1. The first step is to write down every physical quantity the problem gives you. You need to write initial and final position, initial and final velocity, acceleration, time, etc
  2.  Write down which quantity you are trying to find or asked in the question
  3. Find the kinematic equations you need to relate to these quantities.
  4. The last step is to solve algebra or calculate to get the required answer or quantity.


2-Dimension Problem solving steps



  1. Select a coordinate system and resolve the initial velocity vector into x and y components.
  2. Find out an acceleration in each direction and solve it in each direction according to one rectilinear motion equation.
  3. If the acceleration is in the vertical direction only. Follow the techniques for solving constant-velocity problems to analyze the horizontal motion. Follow the techniques for solving constant-acceleration problems to analyze the vertical motion. The x and y motions share the same time of flight t.
  4. There might be a question about trajectory in the Problem, find out the motion in x and y-direction with respect to time from the previous point. And then find the value of t from one equation and then put that value in another equation to find out the equation of trajectory.


3-Dimension Problem solving steps


  1. Select a coordinate system and resolve the initial velocity vector into x, y and z components
  2. Find out an acceleration in each direction and solve it in each direction according to one rectilinear motion equation.

Uniform Circular Motion


  1. Draw a simple, neat diagram of the system.
  2. Firstly consider the origin of the forces acting on each object. To do this find out the field forces acting on each object. Wherever contact in available account the contact force carefully
  3. Find out the force acting on the body. The resultant force should provide the required centripetal required for Circular motion
  4. Centripetal force \(=\frac{mv^2}{R}\) will give the velocity accordingly

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