Motion, Velocity and Acceleration
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Questions and Answers

A train travels 600 kilometers in 5 hours. Calculate the average speed of the train. Show your work.

120 km/hr. $S=d/t$ so $S= 600 \text{ km} / 5 \text{ hr} = 120 \text{ km/hr}$

Explain, in terms of velocity, why two objects can have the same speed but different velocities.

Velocity is speed in a given direction. Thus, two objects can have the same speed but be traveling in different directions.

A car accelerates from an initial velocity of 10 m/s to a final velocity of 25 m/s in 5 seconds. What is the car's acceleration?

3 m/s^2. $a = (v_f - v_i) / t$ so $a = (25 \text{ m/s} - 10 \text{ m/s}) / 5 \text{ s} = 3 \text{ m/s}^2$

A ball is thrown upwards. Explain how its velocity and acceleration change as it rises, reaches its highest point, and then falls back down.

<p>As the ball rises, its velocity decreases due to gravity (deceleration), but acceleration remains constant. At the highest point velocity is momentarily zero but is still accelerating. As it falls, velocity increases but acceleration remains constant.</p> Signup and view all the answers

If you are sitting on a train moving at a constant speed, describe your frame of reference and explain why it might be difficult to determine if you are moving without looking outside.

<p>My frame of reference is the train itself. If the train is moving at a constant speed, then there is no change in position relative to my frame of reference, so I would not notice any acceleration or deceleration. Without outside reference points it's difficult to perceive motion.</p> Signup and view all the answers

Flashcards

Displacement

The change in an object's location, including both distance and direction.

Position

The location of an object in space, relative to a fixed point.

Frame of Reference

A group of reference points used to define motion.

Velocity

Speed in a specific direction.

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Acceleration

The rate at which velocity changes.

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Study Notes

  • Displacement refers to the change in an object's position, considering both the magnitude (how far) and the direction.
  • Position is the location of an object in space, defined relative to a fixed reference point.
  • A Reference Point is an object or point from which movement is determined. Constant movement makes it impossible to determine movement.
  • Frame of Reference is a group of reference points.
  • Motion is a change in position relative to a frame of reference.
  • Constant Speed means the speed of an object remains the same.
  • Velocity refers to speed in a given direction.
  • Velocities in the same direction combine.
  • Velocities in different directions counteract.
  • Acceleration is the rate of change in velocity.
  • Deceleration is a decrease in velocity.

Formulas

  • Speed is calculated as Distance/Time.
  • S=d/t
  • Distance is calculated as Speed x Time.
  • D=st
  • Time is calculated as Distance/ Speed.
  • T=d/s
  • Acceleration is calculated as (Final Velocity - Initial Velocity) / Time.
  • a=fv-iv/a
  • Time is calculated as (Final velocity- Initial Velocity)/ acceleration
  • T= fv-iv/a
  • Final Velocity is calculated as Initial Velocity + (Acceleration x Time).
  • Fv=iv + (a x t)

Examples

  • A skater increases velocity from 2.0 m/s to 10.0 m/s in 3.0 seconds; their acceleration is calculated as (10.0 m/s - 2.0 m/s) / 3 s = 2.7 m/s².
  • The skater's acceleration is 2.7 meters per second per second.
  • A car accelerates at a rate of 3.0 m/s². It takes 5.7 seconds for the car to reach its final speed.
  • Time = (25.0 m/s-8.0 m/s) / 3.0 m/s² = 5.7 s

Extra Notes

  • Acceleration is always curved on a graph.
  • Always use meters per second.

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Learn about displacement, position, and reference points in physics. Explore motion, constant speed, velocity, and acceleration. Key formulas for speed, distance, time, and acceleration are provided.

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