KINEMATICS

WHAT IS A PROJECTILE MOTION?- EXAMPLES, MAXIMUM HEIGHT & TIME TAKEN TO REACH

TABLE OF CONTENTS

PROJECTILE MOTION

An object that is thrown, shot, or projected into the air at an angle with the horizontal under the influence of gravity is known as projectile motion.The path of the projectile that follows through the air is called a trajectory.The trajectory of a projectile is a parabola.Projectile motion can be considered as a combination of horizontal and vertical motion.

PROJECTILE MOTION -EXAMPLES

  • Flight of a base ball
  • Flight of a shell from a cannon
  • A bullet from the gun
  • A ball hit by the batsman for a six
  • A packet dropped from a plane
  • The bend of a soccer kick.
<img src="projectile-motion.jpg" alt="Diagram showing the projectile motion with motion along x-axis and y-axis">
Projectile motion with velocity components

MAXIMUM HEIGHT OF THE PROJECTILE & TIME TAKEN TO REACH :

Projectile motion-maximum height and time taken

MAXIMUM HEIGHT OF THE PROJECTILE & TIME TAKEN TO REACH (ALITER)

Projectile motion- Maximum height and time taken (Aliter)

WHAT IS A PROJECTILE? EXPRESS PROJECTILE MOTION EQUATIONS

TABLE OF CONTENTS

PROJECTILE & PROJECTILE MOTION

An article that is tossed, shot, or projected high up at a point at an angle with the horizontal level affected by gravity is known as projectile motion.The way of the shot (path of the projectile) that finishes the air is known as a trajectory.

  • Trip of a base ball
  • Trip of a shell from a cannon
  • A projectile from the weapon
  • A ball hit by the batsman for a six
  • A parcel dropped from a plane
  • The twist of a soccer kick

The direction of a shot (trajectory of a projectile) is a parabola.Projectile movement can be considered as a mix of even (horizontal) and vertical movement.

The even(horizontal) and vertical parts of speed are autonomous(independent) of one another. No outer power(external force) acts the flat way(horizontal direction) and thus the even (horizontal) movement is supposed to be uniform.

projectile motion with velocity components

PROJECTILE MOTION EQUATIONS

Projectile motion equations

PROJECTILE MOTION- VELOCITY COMPONENTS

Projectile motion – Velocity components
projectile motion equations

MOTION ALONG X-AXIS

Projectile motion- Motion along x-axis

MOTION ALONG Y-AXIS

Projectile motion -Motion along y-axis

MAXIMUM HEIGHT OF THE PROJECTILE

Projectile motion -Maximum height of the projectile

MAXIMUM HEIGHT OF THE PROJECTILE-ALITER

Projectile motion – Maximum height of the projectile

TIME TAKEN TO REACH MAXIMUM HEIGHT

Projectile motion – Time taken to reach maximum height

TIME TAKEN TO REACH MAXIMUM HEIGHT- ALITER

Projectile motion – Time taken to reach maximum height

Projectile motion- Numerical Problems

Projectile motion numerical problems

CONCLUSION

In many disciplines, including physics, engineering, sports, ballistics, aerospace, mathematics, and computer science, the projectile motion and its equations are crucial.One may precisely forecast a projectile’s trajectory and future movements by knowing the beginning velocity, projection angle, motion along the x and y axes, and acceleration due to gravity.These equations are used not just for object prediction and targeting, but also for developing and studying a variety of machinery and structures, such as bridges and rocket missiles.The study of projectile motion and related equations will continue to play a crucial part in our lives with the continuous development of technology and mathematics.

 

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