Physics Tutor in Civil Lines Nagpur – Learn Position, Velocity and Acceleration with Kumar Sir
+91-9958461445
If you are searching for Physics Tutor in Civil Lines Nagpur, then Kumar Sir’s one-to-one Physics classes can help you understand Physics in a very simple and mathematical way. Many students know formulas, but they do not understand when to differentiate, when to put velocity zero, and how to find position, velocity and acceleration from a given equation.
In Physics, especially in Kinematics, one of the most important concepts is the relation between position, velocity and acceleration. If a student understands this properly, then many NEET, JEE, CBSE, IB, IGCSE and AP Physics questions become very easy.
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हाँ, इसे वेबसाइट में copy-paste के लिए ऐसे लिखिए:
When position is given as a function of time, we differentiate position with respect to time to get velocity.
Formula: v = dx/dt
This is called instantaneous velocity.
If velocity is given as a function of time, we differentiate velocity with respect to time to get acceleration.
Formula: a = dv/dt
This is called instantaneous acceleration.
So the basic relation is:
x → v → a
Position differentiated gives velocity, and velocity differentiated gives acceleration.
In simple words:
Position → differentiate → Velocity
Velocity → differentiate → Acceleration
Position, Velocity and Acceleration
How to Solve Questions When Velocity is Zero
Many students get confused when the question says: “Find the position when velocity is zero.”
In such questions, Kumar Sir teaches a very simple method:
First write the position equation.
Differentiate position with respect to time.
You will get velocity.
Put velocity equal to zero.
Find the value of time.
Put that time in the original position equation.
You will get the required position.
For example, if position is:
[
x=at^2+bt+c
]
Then velocity will be:
[
v=\frac{dx}{dt}=2at+b
]
If velocity is zero:
[
2at+b=0
]
[
t=-\frac{b}{2a}
]
Now put this value of time in the original position equation to get the position.
This is the correct mathematical approach.
Why Students Need Kumar Sir for Kinematics
Kinematics looks easy in the beginning, but many students make mistakes in differentiation, sign convention, displacement, velocity-time graph and acceleration-time graph. In NEET and JEE, even one small mistake can change the answer.
That is why students searching for Physics Tutor in NEET Civil Lines Nagpur, Physics Tutor in JEE Civil Lines Nagpur, Physics Tutor in CBSE Physics Civil Lines Nagpur, Physics Tutor in IB Physics Civil Lines Nagpur, Physics Tutor in IGCSE Physics Civil Lines Nagpur should learn from Kumar Sir.
Kumar Sir explains every concept step by step:
What is position?
What is displacement?
What is instantaneous velocity?
What is average velocity?
What is acceleration?
When should we differentiate?
When should we integrate?
How to use zero velocity condition?
How to solve graph-based questions?
How to avoid silly mistakes?
Physics Tutor in Schools and Colleges Near Civil Lines Nagpur
Students from top schools and institutions can join Kumar Sir’s online one-to-one classes. If you are studying in or near Civil Lines, you can search for Physics Tutor in Centre Point School Nagpur, Physics Tutor in Bhavan’s Bhagwandas Purohit Vidya Mandir Nagpur, Physics Tutor in Delhi Public School Nagpur, Physics Tutor in Jain International School Nagpur, Physics Tutor in Hislop College Nagpur, Physics Tutor in Nagpur University, Physics Tutor in Rashtrasant Tukadoji Maharaj Nagpur University.
Final Words
If your Physics basics are weak, do not wait for backlog to increase. Kinematics, NLM, Work Power Energy, Rotational Motion, Current Electricity and Modern Physics must be clear from the beginning.
For serious Physics preparation, choose Kumar Sir.
Call / WhatsApp: +91-9958461445
Website: Kumar Physics Classes
Instantaneous velocity is the velocity of a body at a particular instant of time. It is the rate of change of displacement with respect to time.
Formula: v = dx/dt
Instantaneous acceleration is the acceleration of a body at a particular instant of time. It is the rate of change of velocity with respect to time.
Formula: a = dv/dt
If velocity is given, acceleration is found by differentiating velocity with respect to time.
Formula: a = dv/dt
If acceleration is given, velocity is found by integrating acceleration with respect to time.
Formula: v = ∫ a dt
If velocity is given, displacement is found by integrating velocity with respect to time.
Formula: x = ∫ v dt
If only acceleration is given, first integrate acceleration to get velocity, then integrate velocity to get displacement.
Process: a → v → x
Formula: v = ∫ a dt
Formula: x = ∫ v dt
Differentiation: x → v → a
Integration: a → v → x
Distance travelled is the total path covered by a body. It is always positive and depends on the actual path.
Displacement is the shortest distance between initial and final position with direction. It can be positive, negative or zero.
Speed is the rate of change of distance with time. It is a scalar quantity and has no direction.
Formula: Speed = Distance / Time
Velocity is the rate of change of displacement with time. It is a vector quantity and has direction.
Formula: Velocity = Displacement / Time
In simple words, speed tells how fast a body is moving, while velocity tells how fast and in which direction the body is moving.
Kinematics Definitions
Kinematics is the branch of Physics that deals with the motion of objects without discussing the cause of motion. In kinematics, we study position, distance, displacement, speed, velocity, acceleration and time.
Rest means the object is not changing its position with respect to its surroundings.
Motion means the object is changing its position with respect to its surroundings with time.
Distance is the total path covered by an object during motion. It has no direction.
Displacement is the shortest distance between initial and final position with a definite direction.
Speed is the rate at which an object covers distance. It tells how fast the object is moving.
Velocity is the rate at which displacement changes. It tells both speed and direction of motion.
Acceleration is the rate at which velocity changes with time. If velocity increases, decreases or changes direction, acceleration is present.
Uniform linear motion is motion in a straight line with constant velocity. In this motion, the object covers equal displacement in equal intervals of time.
Non-uniform linear motion is motion in a straight line in which velocity changes with time. The object may speed up or slow down.
Uniform circular motion is motion of an object in a circular path with constant speed. Even though speed remains constant, velocity changes because direction changes continuously.
Angular motion is motion in which an object rotates about a fixed point or fixed axis. For example, a fan rotating about its centre shows angular motion.
Linear motion is motion along a straight line or path. In this motion, the whole body shifts from one position to another.
One-dimensional motion is motion along a single straight line. Only one coordinate is needed to describe the position of the object. Example: motion of a car on a straight road.
Two-dimensional motion is motion in a plane. Two coordinates are needed to describe the position of the object. Example: projectile motion, circular motion and motion of a ball thrown at an angle.
Difference between one-dimensional and two-dimensional motion: In one-dimensional motion, the object moves only along one direction, like x-axis. In two-dimensional motion, the object moves in two directions at the same time, like x-axis and y-axis.
Projectile motion is a two-dimensional motion in which an object moves under the effect of gravity after being projected into air.
Relative motion means the motion of one object as observed from another moving or stationary object.
Differentiation and Integration in Mathematics
Differentiation and integration are two very important tools in Mathematics and Physics. Differentiation is mainly used when we want to find the rate of change of one quantity with respect to another quantity. For example, if position changes with time, differentiation gives velocity. If velocity changes with time, differentiation gives acceleration. So, differentiation is used when we want to know how fast something is changing at a particular moment.
Integration is mainly used when we want to find the total effect by adding many small parts. For example, if acceleration is given, integration can give velocity. If velocity is given, integration can give displacement. Integration is also used to find area under a graph, total work done, total charge, total mass, total displacement and many other physical quantities.
Instantaneous differentiation means finding the rate of change at a particular instant. In Physics, instantaneous velocity means velocity at one exact moment, not over a long time interval. Similarly, instantaneous acceleration means acceleration at one exact moment. This is why differentiation is used for instantaneous values. It gives the exact rate of change at a very small time interval.
Partial differentiation is used when a function depends on more than one variable. In partial differentiation, we differentiate with respect to one variable while keeping the other variables constant. For example, if a quantity depends on both position and time, and we differentiate only with respect to time, then position is treated as constant. Partial differentiation is very useful in advanced Physics, thermodynamics, waves, electricity, magnetism and multivariable calculus.
In simple words, differentiation is used to break motion into instant-by-instant change, while integration is used to combine small changes into a total result. Differentiation tells the rate, and integration tells the accumulation.