Motion in a Plane



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Contents

Motion & Projectile


Description: Types of motion: Linear, circular, oscillatory. Projectile motion: A type of motion involving a projectile's trajectory under the influence of gravity, following a curved path.


Maximum Height


Description: Maximum height (H) in projectile motion is the vertical distance reached by the projectile before its descent, determined by initial velocity and gravitational acceleration.


ProjMotionTime


Description: Time of ascent: Duration taken by a projectile to reach maximum height. Time of flight (T): Total time taken for the projectile's entire motion. Horizontal range (R): Horizontal distance traveled by the projectile.


Instant(t)


Description: Velocity of a projectile at instant (t) is the vector sum of its horizontal and vertical velocities, determined by its initial velocity and acceleration.


Kinetic & Impulse


Description: Energy: The sum of kinetic and potential energy remains constant, neglecting air resistance. Momentum: Product of mass and velocity, conserved in absence of external forces.


Conditions


Description: Different conditions of projectile motion include launch angle, initial velocity, air resistance, and gravitational acceleration, impacting the trajectory, maximum height, and horizontal range.


Numericals


Description: Numericals


Equation


Description: The trajectory of a projectile is the curved path it follows under the influence of gravity, determined by its initial velocity and launch angle.


Relative Velocity


Description: Relative velocity is the velocity of an object as observed from a particular frame of reference, considering the motion of the observer.


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