Projectile Motion - Definition, Formula, Examples, FAQs

The projectile motion is the movement of an object hurled into the air or projected, subject only to gravitational acceleration. The motion of falling items is a simple, one-dimensional sort of motion that is described in the Problem-solving basics for one-dimensional Kinematics. In this part, we are considering projectile movements of two dimensions, such as football motions or other objects with little air strength. The most important point is that movements along perpendicular axes are different and hence may be studied individually. In kinematics, this fact has been treated in two dimensions. The key to analysis is the division into two movements: one on the horizontal axis and one on the vertical axis.

A projectile, by definition, is subject to only one force: gravity. If another force were acting on an object, it would not be a projectile. As a result, a projectile's free-body diagram would show a single downward force labelled force of gravity (or simply Fgrav). The free-body diagram of a projectile is the same whether it is moving downwards, upwards, upwards and rightwards, or downwards and leftwards. A projectile is defined as any object on which the sole force acting is gravity.

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What is Projectile?

Projectile definition and Projectile meaning: An object hurled in space on which the only force acting is gravity is a projectile. The main force acting on a projectile is gravity. This does not imply that other forces are not involved, simply that their effect is limited in comparison with gravity. A trajectory is recognised as the path followed by a projectile. A projectile motion example of the projectile is a baseball batted or thrown.

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What is Projectile Motion Class 11? Define projectile motion.

Projectile Motion definition and Projectile Motion meaning: When a particle is flung from the earth's surface, it travels in a curving path to the earth's core at constant acceleration. The path of a projectile is known as a projectile, and the movement is knocking movement.

When a particle is sent into the air at a certain speed, the only force acting on it during its flight is gravity's acceleration (g). This acceleration acts in a vertically downward direction. Because there is no acceleration in the horizontal direction, the particle's velocity in that direction remains constant.

Related Topic Link - Uniform Circular Motion

Projectile motion examples of Projectile motion

Several Projectile motion examples of Two-Dimensional Projectiles

1. The act of throwing a ball or a cannonball.

2. Javelin throw

3. paul vault

The projectile motion is always represented by a parabola, which is written as:

y = ax + bx²

When a particle is flung from the earth's surface, it travels in a curving path to the earth's core at constant acceleration. Projectile motion is the name given to the motion of such a particle. In the diagram above, a particle with an initial velocity of u is projected at an angle of θ. In these projectile motion examples, we'll do the following calculations:

1. The time it takes to get from point O to point A.
2. The distance travelled horizontally (OA)
3. During the motion, the maximum height of the projectile is reached.
4. During the motion, the velocity at any point “t”.

(Source: Using paint)

Total Flight Time: In the vertical direction, the resultant displacement (s) = 0. As a result, by employing the Equation of Motion:

2(u_yt – s_y) = gt² [In this case, u_y = u sinθ ands_y=0]

gt²=2t u sinθ

As a result, the total flight time of flight of projectile formula (t) is:

Total Time of flightt=2usinθg

The Horizontal range (OA) = Horizontal Component of Velocity (ux) * Total Flight Time (t)

R=ucosθ*2usinθ/g

As a result, the Horizontal range in a projectile motion is (R):

Horizontal Range R=u²sin2θ/g

The highest point of the trajectory is called the maximum height of the projectile (point A). The vertical component of the velocity of the ball will be zero when it reaches point A. In other words, 0 = (u sin?)

As a result, the Maximum height of projectile motion is (Hmax):

Max.Height Hmax=u²sinθ/2g

The horizontal component of initial velocity = u cos? and the vertical component of the first velocity = u sin? if an object is thrown with velocity u at an angle from horizontal. The horizontal component of velocity (u cos?) remains constant throughout the route since there is no horizontal acceleration.

The vertical component of velocity (u sin?) decreases steadily until it reaches zero at the highest point of the path. In the horizontal direction, the body's velocity at its maximum point is u cos?. The angle between velocity and acceleration, on the other hand, is 90 degrees.

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NCERT Physics Notes:

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