Uniformly Accelerated Motion

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Questions and Answers

If an object starts from rest and undergoes uniform acceleration, what can be said about its velocity over time?

  • It remains the same.
  • It stays at zero.
  • It decreases exponentially.
  • It increases linearly. (correct)

What does 'uniformly accelerated motion' mean?

  • An object's velocity changes by equal amounts in equal time intervals. (correct)
  • An object is moving with a decreasing acceleration.
  • An object's acceleration changes at a constant rate.
  • An object moves with a constant velocity.

At what axis in the cartesian coordinate system is horizontal motion usually compared?

  • x-axis (correct)
  • y-axis
  • w-axis
  • z-axis

What happens to the displacement of an object when the time of travel is doubled under uniform acceleration?

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

Speed limits vary with the type of road and area. Which of the following statements is NOT TRUE about speed limit?

<p>It permits vehicles to move in uniformly accelerated motion. (D)</p> Signup and view all the answers

If a freely falling object experiences uniform acceleration due to gravity, what is its velocity after 3 seconds? (Take g=9.8 m/s² and assume it starts from rest.)

<p>29.4 m/s (B)</p> Signup and view all the answers

Which of the following quantities remains constant in uniformly accelerated motion?

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

Which of the following is NOT a characteristic of uniformly accelerated motion?

<p>The displacement-time graph is a straight line. (B)</p> Signup and view all the answers

What happens to the velocity of a ball as it is dropped off a cliff?

<p>It increases at a uniform rate (D)</p> Signup and view all the answers

Which of the following composed the two linear motions of a projectile?

<p>Horizontal and Vertical Motion (D)</p> Signup and view all the answers

What happens to the velocity of a vertically launched projectile as it ascends?

<p>It decreases until it reaches zero. (C)</p> Signup and view all the answers

If two identical balls are launched vertically with different initial velocities, which one will stay in the air longer?

<p>The one with the greater initial velocity. (D)</p> Signup and view all the answers

At the peak of its motion, what is true about a projectile's velocity?

<p>Velocity is zero. (C)</p> Signup and view all the answers

Which of the following statements is correct about the time taken to ascend and descend for a projectile launched vertically?

<p>The time to ascend is equal to the time to descend. (A)</p> Signup and view all the answers

Two projectiles are launched at the same speed but at different angles: one at 30° and the other at 60°. Assuming no air resistance, which of the following is true about their motion?

<p>Both projectiles will have the same range. (C)</p> Signup and view all the answers

If air resistance is considered, how will the projectile's motion be affected?

<p>It will have a lower final velocity than its initial velocity when returning. (A)</p> Signup and view all the answers

What is the acceleration of a projectile in the horizontal direction (assuming no air resistance)?

<p>0 m/s² (D)</p> Signup and view all the answers

In projectile motion, the horizontal and vertical motions are:

<p>Independent of each other (C)</p> Signup and view all the answers

A ball is dropped from rest at the same time another ball is launched horizontally. Which ball will hit the ground first (neglecting air resistance)?

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

At what point in its trajectory does a projectile have the smallest speed?

<p>At the highest point. (C)</p> Signup and view all the answers

How does the angle of release affect the maximum height of a projectile (assuming the same initial velocity)?

<p>The greater the vertical component of velocity, the higher the projectile reaches. (D)</p> Signup and view all the answers

What is the definition of momentum?

<p>The product of mass and velocity. (C)</p> Signup and view all the answers

How can an object's momentum be changed?

<p>By applying a force over time. (D)</p> Signup and view all the answers

What is impulse in physics?

<p>The product of force and time. (B)</p> Signup and view all the answers

Why does a person experience less force when landing with bent knees rather than stiff legs?

<p>Bending the knees increases the time of impact, reducing the force. (C)</p> Signup and view all the answers

What does the impulse-momentum theorem state?

<p>The change in momentum of an object is equal to the impulse applied to it. (D)</p> Signup and view all the answers

Which of the following situations demonstrates the law of conservation of momentum?

<p>A cannon recoils backward when it fires a cannonball. (C)</p> Signup and view all the answers

If the time of impact during a collision is doubled, what happens to the force exerted?

<p>The force is reduced by half. (B)</p> Signup and view all the answers

A baseball player follows through with a swing when hitting the ball. How does this affect impulse?

<p>It increases impulse by increasing the time of contact. (C)</p> Signup and view all the answers

According to the law of conservation of momentum, what happens when two objects collide in an isolated system?

<p>The total momentum before and after the collision remains the same. (B)</p> Signup and view all the answers

Flashcards

Uniform Acceleration

Velocity increases linearly with time.

Uniformly Accelerated Motion

The acceleration remains constant.

X-axis

The horizontal axis in a cartesian coordinate system.

Doubled Time, Uniform Acceleration

The displacement quadruples.

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Horizontal Acceleration

The projectile's acceleration in the horizontal direction.

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Vertical Motion Independence

They hit the ground at the same time.

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Velocity at Highest Point

The point in trajectory where the projectile reaches its maximum height.

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Impulse-Momentum Theorem

Equal to the impulse applied to it.

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Study Notes

  • When an object starts from rest and undergoes uniform acceleration, its velocity increases linearly over time.
  • "Uniformly accelerated motion" means an object's velocity changes by equal amounts in equal time intervals.
  • Horizontal motion is usually compared along the x-axis in the Cartesian coordinate system.
  • When the time of travel is doubled under uniform acceleration, the displacement of an object quadruples.
  • This is NOT TRUE about speed limits: It permits vehicles to move in uniformly accelerated motion.
  • A freely falling object experiences uniform acceleration due to gravity, its velocity after 3 seconds is 29.4 m/s (assuming it starts from rest and using g = 9.8 m/s²).
  • Acceleration remains constant in uniformly accelerated motion.
  • This is NOT a characteristic of uniformly accelerated motion: The displacement-time graph is a straight line.
  • As a ball is dropped off a cliff, its velocity increases at a uniform rate.
  • Projectile motion is composed of horizontal and vertical motions.
  • The velocity of a vertically launched projectile decreases until it reaches zero as it ascends.
  • If two identical balls are launched vertically with different initial velocities, the one with the greater initial velocity will stay in the air longer.
  • At the peak of its motion, a projectile has zero velocity.
  • The time to ascend is equal to the time to descend for a projectile launched vertically.
  • Two projectiles are launched at the same speed but at different angles (30° and 60°), assuming no air resistance, both projectiles will have the same range.
  • If air resistance is considered, the projectile's motion will be affected such that it will have a lower final velocity than its initial velocity when returning.
  • The acceleration of a projectile in the horizontal direction (assuming no air resistance) is 0 m/s².
  • In projectile motion, the horizontal and vertical motions are independent of each other.
  • A ball dropped from rest and another ball launched horizontally at the same time will both hit the ground at the same time (neglecting air resistance).
  • A projectile has the smallest speed at the highest point in its trajectory.
  • The greater the vertical component of velocity, the higher the projectile reaches.
  • Momentum is defined as the product of mass and velocity.
  • An object's momentum can be changed by applying a force over time.
  • Impulse in physics is the product of force and time.
  • A person experiences less force when landing with bent knees rather than stiff legs because bending the knees increases the time of impact, reducing the force.
  • The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it.
  • A cannon recoiling backward when it fires a cannonball demonstrates the law of conservation of momentum.
  • If the time of impact during a collision is doubled, the force exerted is reduced by half.
  • A baseball player following through with a swing when hitting the ball increases impulse by increasing the time of contact.
  • According to the law of conservation of momentum, the total momentum before and after the collision remains the same when two objects collide in an isolated system.

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