Understanding Projectile Motion

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Questions and Answers

Explain why the horizontal and vertical motions of a projectile are considered independent of each other.

The horizontal motion is constant due to inertia, while the vertical motion is affected by gravity. These forces act independently.

Describe the relationship between the launch angle and the range of a projectile, assuming all other factors remain constant.

For a given initial speed, the maximum range is achieved at a launch angle of 45 degrees.

Explain why a projectile launched horizontally will hit the ground at the same time as an object dropped vertically from the same height.

Both objects experience the same vertical acceleration due to gravity. The horizontal motion of the projectile does not affect its vertical motion.

A projectile is launched upwards at an angle. Describe how its vertical velocity changes from the moment it is launched until it reaches its maximum height?

<p>The vertical velocity decreases due to gravity, until it reaches zero at the maximum height.</p> Signup and view all the answers

Neglecting air resistance, explain why the horizontal velocity of a projectile remains constant throughout its flight.

<p>There is no horizontal force acting on the projectile (neglecting air resistance), so according to Newton's first law, the horizontal velocity remains constant.</p> Signup and view all the answers

If air resistance is considered, how does it affect the range and maximum height of a projectile compared to the ideal scenario without air resistance?

<p>Air resistance reduces both the range and the maximum height of a projectile.</p> Signup and view all the answers

Describe the shape of the trajectory of a projectile launched at an angle, and explain why it follows this shape.

<p>A parabola, due to the constant horizontal velocity and the constant vertical acceleration due to gravity.</p> Signup and view all the answers

How does increasing the initial velocity of a projectile affect its time of flight, assuming the launch angle remains the same?

<p>Increasing the initial velocity generally increases the time of flight.</p> Signup and view all the answers

What is the primary difference between speed and velocity? Provide an example.

<p>Speed is a scalar quantity (magnitude only), while velocity is a vector quantity (magnitude and direction). For example, a car moving at 60 km/h is speed; a car moving at 60 km/h East is velocity.</p> Signup and view all the answers

Explain the difference between average speed and instantaneous speed. Give a real-world example of when they might differ considerably.

<p>Average speed is the total distance traveled divided by the total time, while instantaneous speed is the speed at a particular moment. For example, a car during stop-and-go traffic (the average speed will include stops, the instantaneous will be just when they are moving).</p> Signup and view all the answers

Describe the relationship between displacement and distance traveled. When are they equal, and when are they different?

<p>Displacement is the shortest distance between the initial and final points, while distance traveled is the total length of the path taken. They are equal when the motion is in a straight line in one direction.</p> Signup and view all the answers

Explain the difference between uniform motion and uniformly accelerated motion.

<p>Uniform motion has constant velocity (zero acceleration), while uniformly accelerated motion has constant acceleration.</p> Signup and view all the answers

Describe what is meant by free fall and what assumptions are made when considering an object to be in free fall.

<p>Free fall is the motion of an object under the sole influence of gravity. The primary assumption is that air resistance is negligible.</p> Signup and view all the answers

Explain why a feather falls slower than a stone in the presence of air, but they would fall at the same rate in a vacuum.

<p>Air resistance has a greater effect on the feather due to its larger surface area. In a vacuum, there is no air resistance, so both objects experience the same acceleration due to gravity.</p> Signup and view all the answers

Two cars are travelling at the same speed. Car A is heading North, and Car B is heading South. Do they have the same velocity? Explain.

<p>No, they do not have the same velocity because velocity is a vector quantity. The direction is different.</p> Signup and view all the answers

Explain the difference between a scalar and a vector quantity. Give an example of each.

<p>A scalar quantity has only magnitude (e.g., temperature), while a vector quantity has both magnitude and direction (e.g., force).</p> Signup and view all the answers

Describe what a speedometer measures in the car and what the other device is that measures distance.

<p>The speedometer measures Instantaneous speed. The odometer measures distance.</p> Signup and view all the answers

Suppose an object is thrown upwards and then falls back to the ground. Describe, and explain, what is happening to the objects's acceleration during the entire flight.

<p>The object experiences constant acceleration due to gravity, which is always directed downwards.</p> Signup and view all the answers

A car accelerates from rest to 20 m/s in 5 seconds. Calculate the car's acceleration, assuming it is constant.

<p>The acceleration is 4 m/s^2, calculated as: $acceleration = (final velocity - initial velocity) / time = (20 m/s - 0 m/s) / 5 s = 4 m/s^2$.</p> Signup and view all the answers

An object has constant, uniform acceleration. Describe what is happening to its velocity.

<p>The object's velocity is constantly increasing at a steady and consistent rate during the period of acceleration.</p> Signup and view all the answers

Flashcards

Projectile Motion

A motion composed of horizontal and vertical linear motions.

Projectile

An object acted upon only by the force of gravity.

Trajectory

The curved path of an object in projectile motion.

Gravitational Force

The constant force that pulls objects towards the Earth.

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Acceleration

The rate of change of velocity per unit of time in uniformly accelerated motion.

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Speedometer

Device used to determine the speed of a moving vehicle.

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Uniformly Accelerated Motion (UAM)

Motion where acceleration is constant.

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Free-fall exhibits UAM

Free-falling objects exhibit this type of motion with constant acceleration due to gravity.

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Study Notes

Projectile Motion

  • Projectile motion is composed of horizontal and vertical linear motions.
  • A projectile is an object solely acted upon by gravitational force.
  • Trajectory is the path followed by an object under projectile motion.
  • The trajectory of a projectile is described as a parabola.

Forces Affecting Motion

  • Gravitational force keeps an object from reaching the ground.
  • When you throw a baseball straight up, its vertical velocity at the highest point is 0 m/s.
  • The acceleration of a baseball as it returns to the ground is -9.8 m/s².
  • The vertical velocity of an object changes continuously as it travels through the air.
  • The horizontal velocity of an object remains the same as it travels through the air.

Vertical Velocity

  • If a stone is horizontally launched at a certain height, its vertical velocity as it reaches the ground gradually decreases.

Benefits of Sports

  • Gaining weight and tiredness is not a benefit of sports; sports typically lower blood pressure, improve heart health, protect against chronic diseases, and improve memory and brain function.

Motor Vehicle Speed

  • A speedometer measures the speed of a moving vehicle.

Uniformly Accelerated Motion (UAM)

  • In a body exhibiting uniformly accelerated motion, acceleration is constant.
  • Acceleration is constant in bodies experiencing uniformly accelerated motion (FACT).
  • UAM is not exclusively observed along the horizontal line of action (BLUFF).
  • Objects in free-fall exhibit uniformly accelerated motion (FACT).
  • Velocity changes at a constant rate in UAM (FACT).
  • An object in UAM does not have zero acceleration (BLUFF).

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