Position, velocity, acceleration and time

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Intros
Lessons
  1. Displacement Vs. Distance
  2. Velocity Vs. Speed
  3. Acceleration
  4. Position Vs. Time Graph
  5. Velocity Vs. Time Graph
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Examples
Lessons
  1. A taxi driver travels across the city through the map as shown below. The total time taken to cover the whole journey is 30min.
    Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs
    1. What is the displacement of the driver from the start point to point A?
    2. What is the total distance covered form start point to point A?
    3. What is the displacement of the driver from the start point to the end point?
    4. What is the total distance covered by the driver from the start point to the end point?
    5. If the driver goes back to the start point, what would be the total distance and displacement?
    6. Calculate the average speed and average velocity of the journey from the start point to the end point.
    7. What would be the average speed and average velocity if the driver goes back to the start point?
  2. A person walks 20m west, then 50m north and stops. After 5 minutes of resting, he resumes his walk towards the east for 20m. The entire trip took 10 minutes.
    1. Calculate the total distance and displacement in 10 minutes.
    2. Calculate the average speed and average velocity in 10 minutes
  3. The following graph represents position Vs. time graph of a car as a function of time.
    Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs
    1. What is the car average velocity from 20s to 30s?
    2. What is the car average velocity from 30s to 40s?
    3. What is the car average velocity from 10s to 20s?
    4. What is the instantaneous velocity at 40s?
    5. What is the displacement of the car after 50s?
    6. What is the total distance traveled by the car in 50s?
  4. The following graph represents position Vs. time graph for an object as a function of time.
    Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs
    1. What is the car average velocity from 5s to 15s?
    2. What is the instantaneous velocity at 10s?
    3. What is the car average velocity from 0s to 20s?
  5. The following graph represent the Velocity Vs. Time graph of an object moving with constant acceleration.
    Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs
    1. Find the acceleration of the object during the following intervals.
      [0s, 40s], [40s, 70s], [70s ,90s], [90s, 100s]
    2. What is the total displacement of the object?
    3. What is the distance covered during 100s?
    4. Describe the motion of the object.
  6. The following represents the motion of a particle with a variable acceleration.
    Define: Distance VS. displacement, speed VS. velocity, acceleration position, velocity, acceleration - time graphs
    1. What is the car average acceleration from 5s to 15s?
    2. What is the instantaneous acceleration at 10s?
    3. What is the car average acceleration from 0s to 20s?