Uniform Acceleration: Principles and Examples

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Questions and Answers

An object starts from rest with uniform acceleration. What describes its velocity?

  • It remains constant.
  • It decreases exponentially.
  • It increases linearly. (correct)
  • It oscillates.

What characterizes 'uniformly accelerated motion'?

  • Acceleration changing at a constant rate
  • Decreasing acceleration
  • Velocity changing by equal amounts in equal time intervals (correct)
  • Constant velocity

During projectile motion, what is the acceleration in the horizontal direction, assuming negligible air resistance?

  • Dependent on initial velocity
  • $0 \frac{m}{s^2}$ (correct)
  • $4.9 \frac{m}{s^2}$
  • $9.8 \frac{m}{s^2}$

Two identical balls are launched vertically with differing initial velocities. If air resistance is negligible, which ball stays in the air longer?

<p>The ball with the greater initial velocity (A)</p> Signup and view all the answers

If two objects collide in an isolated system, what happens to the total momentum, according to the law of conservation of momentum?

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

Two projectiles are launched at the same speed, one at 30° and the other at 60°. Without air resistance, what is true about their range?

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

A ball is dropped vertically while another is launched horizontally. Assuming no air resistance, which hits the ground first?

<p>They hit the ground at the same time (B)</p> Signup and view all the answers

How does following through with a swing affect the impulse when hitting a baseball?

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

What happens to the velocity of a vertically launched projectile as it ascends, assuming negligible air resistance?

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

The time of impact during a collision doubles. How does this affect the force exerted, assuming impulse remains constant?

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

Flashcards

Uniform Acceleration Velocity

Velocity increases linearly with time.

Uniformly Accelerated Motion

Motion where velocity changes by equal amounts in equal time intervals.

Horizontal Motion Axis

Usually the x-axis.

Displacement with Doubled Time

Displacement quadruples when time doubles.

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Speed Limit and Uniform Accelaration

It permits vehicles to move in uniformly accelerated motion. (This is false)

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Velocity After 3 Seconds

Velocity after 3 seconds is 29.4 m/s.

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Constant in Uniformly Accelerated Motion

Acceleration remains constant.

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Velocity of Vertically Launched Projectile (Ascending)

Velocity decreases until it reaches zero.

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Ball Stays in Air Longer

The one with the greater initial velocity.

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Velocity at Peak

Velocity is zero.

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Study Notes

  • If an object starts from rest and undergoes uniform acceleration, velocity increases linearly over time.
  • "Uniformly accelerated motion" denotes an object's velocity changing by equal amounts in equal time intervals.
  • Horizontal motion is typically compared along the x-axis in a Cartesian coordinate system.
  • Displacement quadruples when the time of travel is doubled under uniform acceleration.
  • A NOT TRUE statement about speed limits; permits vehicles to move in uniformly accelerated motion
  • A freely falling object's velocity after 3 seconds, experiencing uniform acceleration due to gravity (g = 9.8 m/s²), is 29.4 m/s, assuming it starts from rest.
  • Acceleration remains constant in uniformly accelerated motion.
  • A displacement-time graph is a straight line is NOT a characteristic of uniformly accelerated motion
  • The velocity of a ball increases at a uniform rate as it is dropped off a cliff.
  • Projectile motion involves both horizontal and vertical linear motions.
  • The velocity of a vertically launched projectile decreases until it reaches zero as it ascends.
  • With different initial velocities, the ball with the greater initial velocity will stay in the air longer when launched vertically.
  • At the peak of its motion, a projectile's velocity is zero.
  • The time to ascend equals the time to descend for a projectile launched vertically.
  • Assuming no air resistance, projectiles launched at the same speed but at different angles (30° and 60°) will both have the same range.
  • Considering air resistance, a projectile will have a lower final velocity than its initial velocity when returning.
  • Without air resistance, the horizontal acceleration of a projectile is 0 m/s².
  • In projectile motion, horizontal and vertical motions are independent of each other.
  • When a ball is dropped from rest at the same time as another ball launched horizontally, they 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 refers to the product of force and time.
  • A person experiences less force when landing with bent knees because bending the knees increases the time of impact, thus reducing the force.
  • The impulse-momentum theorem states that the change in momentum of an object equals 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 follows through with a swing to increase impulse by increasing the time of contact.
  • In an isolated system, the total momentum before and after the collision remains the same when two objects collide, according to the law of conservation of momentum.

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