Projectile Motion Class 11 Physics Motion in a Plane 💥

Projectile motion is a two-dimensional motion in which an object is thrown into the air and moves under the influence of gravity alone, without any propulsion after the initial launch. The path followed by a projectile is called a trajectory, and it is always parabolic in nature (assuming uniform gravity and no air resistance).

🔷 Key Points in Projectile Motion:
1. Definition:
A projectile is any object thrown with an initial velocity and allowed to move under the action of gravity alone (after being projected).
2. Examples:
• A ball thrown in the air
• A cannonball fired from a cannon
• A stone thrown at an angle to the horizontal
3. Types of Motion:
• Horizontal motion: uniform motion (constant velocity)
• Vertical motion: uniformly accelerated motion (due to gravity)
4. Important Parameters:
• Initial velocity (u): Velocity with which the object is projected
• Angle of projection (θ): Angle with the horizontal at which the object is launched
• Time of flight (T): Total time the projectile remains in the air
T = \frac{2u\sin\theta}{g}
• Maximum height (H): The highest vertical position the projectile reaches
H = \frac{u^2\sin^2\theta}{2g}
• Horizontal Range (R): Total horizontal distance covered by the projectile
R = \frac{u^2\sin 2\theta}{g}
5. Equations of Motion:
• Horizontal motion:
x = u\cos\theta \cdot t
• Vertical motion:
y = u\sin\theta \cdot t - \frac{1}{2}gt^2
These equations describe the trajectory of the projectile.
6. Path of the Projectile:
The trajectory is derived by eliminating time (t) from the above equations. The resulting equation is of the form:
y = x\tan\theta - \frac{gx^2}{2u^2\cos^2\theta}
which is the equation of a parabola.
7. Characteristics:
• The horizontal and vertical motions are independent of each other.
• Air resistance is neglected in basic projectile motion problems.
• Acceleration in the horizontal direction is zero; vertical acceleration is –g (downward).

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📝 Summary:
Projectile motion is an excellent application of the concepts of vectors and kinematics. It helps students understand how motion in two dimensions can be broken into two separate one-dimensional motions. This topic is crucial not only for board exams but also for entrance exams like JEE and NEET.

Видео Projectile Motion Class 11 Physics Motion in a Plane 💥 канала Milestone Gurucool😎