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 :

<img src="kinematics.jpg" alt="Image showing the expression for maximum height  and time  taken to reach maximum height of the projectile">
Projectile motion-maximum height and time taken

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

<img src="projectile-motion.jpg" alt="Image showing the maximem height and time taken to reach the maximum height of a projectile (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.

<img src="projectile-motion.jpg" alt="Diagram showing the projectile motion with motion along x-axis and y-axis">
projectile motion with velocity components

PROJECTILE MOTION EQUATIONS

<img src="projectile-motion.jpg" alt="Image showing the expression for the projectile motion equations ">
Projectile motion equations

PROJECTILE MOTION- VELOCITY COMPONENTS

<img src="projectile-motion.jpg" alt="Diagram showing the velocity coponents in the case of projectile motion">
Projectile motion – Velocity components
projectile motion equations

MOTION ALONG X-AXIS

<img src="projectile-motion.jpg" alt="Image showing the projectile motion with the expression for motion along x-axis">
Projectile motion- Motion along x-axis

MOTION ALONG Y-AXIS

<img src="projectile-motion.jpg" alt="Diagram showing the projectile motion with  the motion along  y-axis">
Projectile motion -Motion along y-axis

MAXIMUM HEIGHT OF THE PROJECTILE

<img src="projectile-motion.jpg" alt="Image showing  the expression for the maximum height of the projectile">
Projectile motion -Maximum height of the projectile

MAXIMUM HEIGHT OF THE PROJECTILE-ALITER

<img src="projectile-motion.jpg" alt="Image showing the expression for the  maximum height of the  projectile (Aliter)">
Projectile motion – Maximum height of the projectile

TIME TAKEN TO REACH MAXIMUM HEIGHT

<img src="projectile-motion.jpg" alt="Image showing the  expression for the time taken to reach the maximum height of a projectile">
Projectile motion – Time taken to reach maximum height

TIME TAKEN TO REACH MAXIMUM HEIGHT- ALITER

<img src="projectile-motion.jpg" alt="Image showing the  expression for the time taken to reach the maximum height of a projectile">
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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