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Questions and Answers
The curved path followed by a projectile is called a ______.
The curved path followed by a projectile is called a ______.
trajectory
[Blank] launched projectiles are projectiles that are launched with an initial velocity from an elevated position and follows a curved-like path to the ground.
[Blank] launched projectiles are projectiles that are launched with an initial velocity from an elevated position and follows a curved-like path to the ground.
Horizontally
[Blank] is the natural force that causes objects to fall towards the earth.
[Blank] is the natural force that causes objects to fall towards the earth.
Gravity
[Blank] launched projectiles are projectiles launched at an angle with respect to the horizontal and rises to a peak while moving horizontally.
[Blank] launched projectiles are projectiles launched at an angle with respect to the horizontal and rises to a peak while moving horizontally.
An angle-launched projectile exhibits a full ______ trajectory motion.
An angle-launched projectile exhibits a full ______ trajectory motion.
In projectile motion, if air resistance is ignored, the ______ velocity remains constant.
In projectile motion, if air resistance is ignored, the ______ velocity remains constant.
The ______ velocity of a projectile changes due to the constant acceleration of gravity.
The ______ velocity of a projectile changes due to the constant acceleration of gravity.
The value of acceleration due to gravity is $ ______ m/s^2 $.
The value of acceleration due to gravity is $ ______ m/s^2 $.
At the peak of its trajectory, the vertical velocity of a projectile is ______.
At the peak of its trajectory, the vertical velocity of a projectile is ______.
In projectile motion, the horizontal and vertical motions are ______ of each other.
In projectile motion, the horizontal and vertical motions are ______ of each other.
In the absence of air resistance, a projectile will travel in a ______ path.
In the absence of air resistance, a projectile will travel in a ______ path.
The horizontal range of a projectile is affected by its initial velocity and launch ______.
The horizontal range of a projectile is affected by its initial velocity and launch ______.
When a projectile is launched horizontally, its initial vertical velocity is ______.
When a projectile is launched horizontally, its initial vertical velocity is ______.
The time it takes for a projectile to reach its maximum height is ______ the time it takes to return to the same height.
The time it takes for a projectile to reach its maximum height is ______ the time it takes to return to the same height.
Increasing the launch angle of a projectile (up to 45 degrees) will generally ______ its range.
Increasing the launch angle of a projectile (up to 45 degrees) will generally ______ its range.
A projectile is any object upon which the only force acting is ______.
A projectile is any object upon which the only force acting is ______.
An object that is thrown or launched into the air and is subject to only the force of gravity is called a ______.
An object that is thrown or launched into the air and is subject to only the force of gravity is called a ______.
After being released, a projectile's horizontal motion is ______, assuming negligible air resistance.
After being released, a projectile's horizontal motion is ______, assuming negligible air resistance.
The vertical motion of a projectile is affected by the constant downward acceleration due to ______.
The vertical motion of a projectile is affected by the constant downward acceleration due to ______.
The path a projectile takes through the air is called its ______.
The path a projectile takes through the air is called its ______.
At the highest point in its flight, a projectile's vertical velocity is momentarily ______.
At the highest point in its flight, a projectile's vertical velocity is momentarily ______.
The horizontal range of a projectile depends on launch angle and initial ______.
The horizontal range of a projectile depends on launch angle and initial ______.
In the absence of air resistance, projectiles launched at complementary angles (e.g. 30 and 60 degrees) will have the same ______.
In the absence of air resistance, projectiles launched at complementary angles (e.g. 30 and 60 degrees) will have the same ______.
For a projectile launched at an angle, the initial vertical velocity is maximum at launch, but decreases as the projectile moves ______.
For a projectile launched at an angle, the initial vertical velocity is maximum at launch, but decreases as the projectile moves ______.
The vertical velocity of a projectile as it returns to its launch height is equal in magnitude but opposite in ______ to its initial vertical velocity.
The vertical velocity of a projectile as it returns to its launch height is equal in magnitude but opposite in ______ to its initial vertical velocity.
The force of gravity always acts ______ on a projectile.
The force of gravity always acts ______ on a projectile.
The path of a projectile is a ______. If air resistances is ignored.
The path of a projectile is a ______. If air resistances is ignored.
When a projectile reaches its maximum horizontal range, the launch angle is approximately ______.
When a projectile reaches its maximum horizontal range, the launch angle is approximately ______.
A projectile’s horizontal motion is at ______ velocity.
A projectile’s horizontal motion is at ______ velocity.
The initial vertical velocity is 0 m/s when an object is launched ______.
The initial vertical velocity is 0 m/s when an object is launched ______.
Flashcards
Projectile Motion?
Projectile Motion?
Motion where an object, given an initial velocity, is thrown/projected and acted on by gravity in a curved path.
Trajectory?
Trajectory?
The curved path followed by a projectile.
Horizontally Launched Projectiles?
Horizontally Launched Projectiles?
Projectile launched horizontally from an elevated position, following a curved path to the ground.
Angle-Launched Projectiles?
Angle-Launched Projectiles?
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Vertical Motion?
Vertical Motion?
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Horizontal Velocity (Vx)?
Horizontal Velocity (Vx)?
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Parabola?
Parabola?
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Projectile?
Projectile?
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Vertical velocity as the object moves down?
Vertical velocity as the object moves down?
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Gravitational Acceleration?
Gravitational Acceleration?
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Horizontal velocity component of a projectile?
Horizontal velocity component of a projectile?
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Study Notes
- Study Guide for Science, Quarter 4, Module 1: Horizontal and Vertical Motions of a Projectile
What You Will Learn
- The definition of a projectile, distinguishing it from projectile motion.
- How to describe horizontal and vertical motions of projectiles.
- How to explain horizontal and vertical motions, providing examples in various scenarios.
Projectile Motion Basics
- In Grade 7, you learned about motion descriptors in one dimension, governing objects moving in straight lines with uniform acceleration, including horizontal and vertical (free-fall) motions.
- Uniform acceleration is the state where an object's speed changes at a constant rate.
- Kinematics involves studying motion using equations, focusing on how fast an object moves after a specific time, rather than just whether it moves.
Kinematic Equations
- Kinematic equations predict unknown information about an object's motion, given certain conditions, and apply when motion has constant velocity (zero acceleration) or constant acceleration.
- Objects influenced only by gravity demonstrate uniform acceleration at a constant value of g = -9.8 m/s² (downward)
- Kinematic Equations transform from horizontal to vertical by changing x to y and a to g.
Free Fall Characteristics
- Free-falling objects accelerate at -9.8m/s².
- Objects dropped experience an initial velocity of 0 m/s.
- Objects projected upwards slow, reaching 0 m/s velocity at their peak trajectory point.
- An object projected upward returns to its original height with the same magnitude but opposite sign in velocity.
- Projectile motion consists of vertical and horizontal motions.
Projectile Motion Explained
- Projectile Motion involves an object with initial velocity thrown or projected and acted on by gravity along a curved path.
- Projectiles include any object fitting the above description.
- Trajectory is the curved path a projectile follows.
Horizontally Launched Projectiles
- Horizontally launched projectiles, starting with initial velocity from an elevated position, follow a curved path to the ground.
Angle-Launched Projectiles
- Angle-launched projectiles are launched at an angle, ascend to a peak horizontally, and descend symmetrically to their ascent.
- Angle-launched projectile motion exhibits a full parabolic trajectory.
- Gravity causes the launched ball to return to the ground while moving horizontally, showing projectile motion.
- Projectile motion contains independent horizontal and vertical components.
Horizontal and Vertical Motion of a Projectile
- Horizontal and vertical motions are independent.
Horizontal Motion in Projectiles
- For horizontal projectile motion, there's no external net force, meaning there's no acceleration (ax=0).
- Thus, the horizontal velocity (vx) stays constant.
Vertical Motion in Projectiles
- Vertical velocity of marble gradually increased from points A to D due to gravity’s acceleration of -9.8 m/s².
- From figure 2.1, when the rider takes off from the cliff its downward vertical velocity is increasing due to the presence of gravity which accelerates the rider at 9.8m/s interval downward.
Vertical Motion in Angle-launched Projectiles
- For angle-launched projectiles, horizontal velocity (vx) is constant, but vertical velocity varies in three stages.
- Ascending (A to B), upward vertical velocity (vy) decreases due to gravity's opposition.
- Reaching the maximum height (B), it momentarily stops, making vertical velocity zero.
- Descending (B to C), motion aligns with gravity, increasing its magnitude.
Summary of Key Points
- Projectile motion can be described using horizontal and vertical components.
- A projectile is any object is given an initial velocity and acted upon solely by gravity.
- Trajectory indicates to the path followed by a projectile.
- Projectile motion creates a parabolic path.
- Earth's gravity and horizontal velocity cause the parabolic arc.
- Rising: Vertical velocity magnitude decreases until it reaches 0 m/s at maximum height.
- Descending: Vertical velocity magnitude increases due to gravity.
- Gravitational acceleration remains constant at -9.8 m/s² on Earth.
- Horizontal velocity in Projectiles is constant, initial and final horizontal velocities remain equal with zero horizontal acceleration.
- Horizontally projected objects fall at same rate as dropped objects, hitting ground simultaneously.
- Horizontally launched projectiles: y-component increases as it falls due to gravity, while x-component stays constant.
- Angle-launched projectiles: x-component remains constant, y-component decreases until at the height becomes 0 m/s and goes down.
- In the absence of gravity and air resistance, projectiles move in a straight line due to inertia.
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