Projectile Motion

Projectile Motion

(Part 2)​

By CYRIL CONSTANTINO

Quarter 4 – Module 2:

Height and Range of Projectile

Objectives:

1. Describe the relationship between the initial velocity and the height and range of the projectile with constant angle of release

2. Describe the relationship between the angle of release and the height and range of the projectile with constant initial velocity

Multiple Choice

What is the motion of an object that is thrown or projected into the air and subject to only the acceleration of gravity?

• Centripetal Force

• Projectile Motion

• Horizontal Motion

• Vertical Motion

Multiple Choice

A body/object in a projectile motion has been established to have a _______ trajectory with horizontal and ________ components of position (x and y) and velocity (vx and vy).

• simple - Vertical

• upward - straight

• parabolic - vertical

• parabolic - constant

Multiple Choice

What happens to the horizontal velocity of an object as it travels through the air?

• Changes continuously

• Gradually increasing

• Gradually decreasing

• Remains the same

Multiple Choice

The projectile motion is the combination of horizontal motion with

_______________ and vertical motion with ___________________.

• Constant Velocity - Constant Acceleration

• Constant Acceleration - Constant Velocity

• Same Velocity - Different acceleration

• Different Velocity - Same acceleration

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Position:

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Velocities:

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Projectile Launched at an angle​

​Volleyball

An object’s motion can be described in two ways, horizontally (how far) or vertically (how high).​

Projectile motion is considered as 2-

Dimensional motion

The height and range an object reaches is dependent upon

​ 1) how fast it leaves its initial position (initial velocity, v_0) and

2) the angle at which it leaves from its initial position (angle of launch, θ)

The equations of motion become:

Position​

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Velocities​

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The time when the projectile reached its highest point​ It is calculated as follows:​

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​The time it takes for a projectile to go down to the same level (tdown) is equal to the time it takes when it was rising (tdown) to its maximum height,

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​Three important quantities to consider when describing the motion of projectiles: time, range, and height.

The maximum range (R) is the maximum horizontal displacement that can be reached by a projectile.

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​Three important quantities to consider when describing the motion of projectiles: time, range, and height.

The maximum height is the maximum vertical displacement of projectiles. It is calculated as follows:

​Three important quantities to consider when describing the motion of projectiles: time, range, and height.

Equations for Projectile launched at an angle

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​https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html

​https://www.youtube.com/watch?v=l_YM5PCe3B8