NEET Physics: Waves – NCERT Masterclass & 100 MCQ Quiz

MOTION IN A PLANE: NCERT MASTERCLASS

Complete Study Notes & 5-Part Mega Quiz for NEET

1. Scalars and Vectors

In physics, quantities are classified into two broad categories based on whether they require a direction to be completely specified.

• Scalars: Quantities that have magnitude only. Examples include distance, mass, temperature, time, and work. They can be added or subtracted using simple ordinary algebra.
• Vectors: Quantities that have both magnitude and direction, and strictly obey the triangle law of addition. Examples include displacement, velocity, force, and acceleration.

2. Resolution and Addition of Vectors

A vector can be broken down (resolved) into components along the coordinate axes using unit vectors ($\hat{i}, \hat{j}, \hat{k}$).

$$A = A_x \hat{i} + A_y \hat{j}$$ Magnitude: $$|A| = \sqrt{A_x^2 + A_y^2}$$

Analytical Method of Addition: To add two vectors, simply add their corresponding x, y, and z components together. If $R = A + B$, then $R_x = A_x + B_x$ and $R_y = A_y + B_y$.

3. Motion in a Plane (2D Kinematics)

Motion in two dimensions can be treated as two independent, simultaneous one-dimensional motions along perpendicular directions (x and y axes). The kinematic equations apply to each axis independently.

NEET Master Concept: The time $t$ is the only variable that connects the horizontal (x-axis) and vertical (y-axis) motions.

4. Projectile Motion

An object projected into the air and moving under the sole influence of gravity is called a projectile. Its path is a Parabola.

• Horizontal Motion: Uniform velocity (Acceleration $a_x = 0$).
• Vertical Motion: Uniformly accelerated motion (Acceleration $a_y = -g$).

Time of Flight ($T_f$): $$T_f = \frac{2v_0 \sin\theta}{g}$$ Max Height ($h_m$): $$h_m = \frac{v_0^2 \sin^2\theta}{2g}$$ Horizontal Range ($R$): $$R = \frac{v_0^2 \sin 2\theta}{g}$$

5. Uniform Circular Motion

When an object follows a circular path at a constant speed, it is in uniform circular motion. Even though the speed is constant, the velocity vector is constantly changing its direction, meaning the object is accelerating.

This acceleration is called Centripetal Acceleration, and it always points towards the center of the circle.

Centripetal Acceleration: $$a_c = \frac{v^2}{R} = \omega^2 R$$

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🚀 NEET KINEMATICS IN 2D MEGA QUIZ (100 MCQ)

Solve the 5 parts below to master Vectors, Projectiles, and Circular Motion.

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