Free Fall vs. Projectile Motion

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Questions and Answers

In the bottle cap experiment, what is the primary factor influencing the horizontal distance traveled by the bottle cap projected with an initial horizontal velocity?

  • The initial horizontal velocity imparted to the cap. (correct)
  • The air resistance experienced by the cap.
  • The height from which the cap is released.
  • The gravitational force acting on the cap.

Considering the bottle cap experiment, if both bottle caps are released simultaneously, what factor determines whether they will hit the ground at the same time?

  • The air pressure in the room.
  • The mass of the bottle caps.
  • The initial horizontal velocity of one cap.
  • The vertical distance they fall. (correct)

When a ball is launched horizontally from a cliff, which component of its velocity remains constant throughout its flight, assuming negligible air resistance?

  • Vertical velocity.
  • Horizontal velocity. (correct)
  • Tangential velocity.
  • Resultant velocity.

For a ball launched horizontally off a cliff, what causes the vertical velocity to change over time?

<p>Gravity. (C)</p> Signup and view all the answers

A ball is launched horizontally from a cliff with an initial velocity of 25 m/s. What will its horizontal velocity be 2 seconds after launch, assuming air resistance is negligible?

<p>25 m/s. (A)</p> Signup and view all the answers

If a ball is launched horizontally from a cliff, and it takes 3 seconds to hit the ground, what information is needed to calculate the height of the cliff?

<p>The acceleration due to gravity. (C)</p> Signup and view all the answers

A projectile is launched horizontally. How does the vertical acceleration change during its flight, assuming negligible air resistance?

<p>It remains constant. (B)</p> Signup and view all the answers

Two balls are released simultaneously from the same height. One is dropped vertically, and the other is projected horizontally. Which ball will hit the ground first, assuming flat ground and negligible air resistance?

<p>Both balls will hit the ground at the same time. (D)</p> Signup and view all the answers

If a ball is launched horizontally off a cliff with a greater initial velocity, what will be the effect on the time it takes to hit the ground, assuming the height of the cliff remains the same?

<p>The time will remain the same. (C)</p> Signup and view all the answers

What is the shape of the trajectory of a ball launched horizontally from a cliff, assuming negligible air resistance?

<p>A parabola. (D)</p> Signup and view all the answers

In projectile motion, at what angle should a projectile be launched to achieve the maximum horizontal range, neglecting air resistance and assuming a flat surface?

<p>45 degrees (B)</p> Signup and view all the answers

A projectile is fired at an angle. What is the vertical velocity at the highest point of its trajectory, assuming we are neglecting air resistance?

<p>Zero (A)</p> Signup and view all the answers

How does increasing the launch angle (from 0 to 90 degrees) affect the time a projectile spends in the air, assuming the same initial speed?

<p>Increases the time in the air to a maximum at 45 degrees, then decreases. (C)</p> Signup and view all the answers

Which of the following factors does NOT affect the range of a projectile on level ground, neglecting air resistance?

<p>Mass of the projectile (B)</p> Signup and view all the answers

Neglecting air resistance, what happens to the kinetic energy of a projectile as it reaches its maximum height?

<p>It is at its minimum, but not zero. (A)</p> Signup and view all the answers

Under what conditions is the range of a projectile the same for two different launch angles?

<p>When the two angles are complementary (add up to 90 degrees). (B)</p> Signup and view all the answers

A projectile is launched upwards at an angle. At which point in its trajectory is its speed the lowest?

<p>At its maximum height (C)</p> Signup and view all the answers

Suppose a projectile is launched with the same initial velocity on both Earth and the Moon (where gravitational acceleration is weaker). How would the range and maximum height compare, neglecting air resistance?

<p>Both range and maximum height would be greater on the Moon. (A)</p> Signup and view all the answers

In a projectile motion scenario, which of the following quantities remains constant throughout the motion (assuming no air resistance)?

<p>The horizontal component of velocity. (B)</p> Signup and view all the answers

Two projectiles are launched with the same initial speed. Projectile A is launched at an angle of 30 degrees, while Projectile B is launched at an angle of 60 degrees. Which projectile will reach a greater maximum height, assuming level ground and negligible air resistance?

<p>Projectile B (D)</p> Signup and view all the answers

Flashcards

Projectile Motion

Motion where an object is launched into the air and follows a curved path due to gravity.

Initial Velocity

The initial speed and angle at which a projectile is launched.

Acceleration Due to Gravity

The constant acceleration experienced by objects due to Earth's gravitational pull.

Horizontal Velocity

The horizontal speed of an object, which remains constant during projectile motion (if air resistance is neglected).

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Vertical Velocity

The vertical speed of an object, which changes due to gravity during projectile motion.

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Range

The horizontal distance traveled by the projectile before it hits the ground.

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Study Notes

  • The text provides instructions for a physics activity comparing the motion of two objects falling under gravity.
  • One object falls freely, while the other is horizontally projected.
  • Additionally, the activity also illustrates projectile motion concepts.

Activity: Compare Me

  • Materials: Two plastic bottle caps and a plastic ruler are needed.
  • Setup: Place the ruler on a table as shown in the diagram.
  • Position one bottle cap on one edge of the ruler and the other on the opposite edge.
  • Procedure: Push the ruler forward so that both caps fall.
  • Observe the motion of the bottle caps as they fall and hit the floor.
  • Determine if the bottle caps hit the floor at the same time or at different times, and provide reasoning for your observation.
  • Key points: One bottle cap falls freely with no initial horizontal velocity.
  • The other bottle cap is projected horizontally with an initial horizontal velocity.
  • Horizontally projected projectile covers some horizontal distance from the point of release

Problem Solving: Projectile Motion

  • A ball is launched horizontally from a cliff with an initial velocity of 25 m/s.
  • The trajectory of the ball is shown in the diagram.
  • The problem requires us to determine the horizontal and vertical velocities at different times.

Horizontal Velocity (vx)

  • The horizontal velocity remains constant throughout the motion, assuming negligible air resistance.
  • At t = 0 sec, vx = 25 m/s.
  • At t = 1 sec, vx = 25 m/s.
  • At t = 2 sec, vx = 25 m/s.
  • At t = 3 sec, vx = 25 m/s.
  • At t = 4 sec, vx = 25 m/s.
  • At t = 5 sec, vx = 25 m/s.
  • The horizontal velocity (vx) of the ball is 25 m/s in every time interval of 1 second.

Vertical Velocity (vy)

  • The vertical velocity changes due to gravity (acceleration due to gravity = -9.8 m/s²).
  • At t = 0 sec, vy = 0 m/s.
  • At t = 1 sec, vy = -9.8 m/s.
  • At t = 2 sec, vy = -19.6 m/s.
  • At t = 3 sec, vy = -29.4 m/s.
  • At t = 4 sec, vy = -39.2 m/s.
  • At t = 5 sec, vy = -49.0 m/s.
  • The vertical velocity (vy) of the ball increases by -9.8 m/s every second of fall (due to gravity).

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