introduction to position - time graphs\nposition - time graphs tell you where an object is located over a…

introduction to position - time graphs\nposition - time graphs tell you where an object is located over a period of time. the slope of the graph tells you how fast the object is moving.\nthe sign of the slope indicates direction of motion. what would a graph look like if an object is...\nmoving away from 0 meters\nstopped\nmoving towards 0 meters\nthe steepness of the line indicates how fast an object is moving. what would a graph look like if an object is...\nmoving slowly away from 0 m.\nmoving quickly away from 0 m.\nmoving slowly towards 0 m.\nif an object’s motion changes, the slope of the line changes. what would a graph look like if an object is...\nmoves slowly then quickly away from 0 m.\nmoves quickly towards 0 m, then stops.\nis not moving, the moves slowly towards 0 m.\npractice: answer the following questions using the graphs\nposition - time graph\n1. when time increases, what happens to the distance?\n2. describe the object’s motion.\n3. what is the velocity of the object?\nposition - time graph\n4. when time increases, what happens to the distance?\n5. describe the object’s motion.\n6. what is the velocity of the object?

introduction to position - time graphs\nposition - time graphs tell you where an object is located over a period of time. the slope of the graph tells you how fast the object is moving.\nthe sign of the slope indicates direction of motion. what would a graph look like if an object is...\nmoving away from 0 meters\nstopped\nmoving towards 0 meters\nthe steepness of the line indicates how fast an object is moving. what would a graph look like if an object is...\nmoving slowly away from 0 m.\nmoving quickly away from 0 m.\nmoving slowly towards 0 m.\nif an object’s motion changes, the slope of the line changes. what would a graph look like if an object is...\nmoves slowly then quickly away from 0 m.\nmoves quickly towards 0 m, then stops.\nis not moving, the moves slowly towards 0 m.\npractice: answer the following questions using the graphs\nposition - time graph\n1. when time increases, what happens to the distance?\n2. describe the object’s motion.\n3. what is the velocity of the object?\nposition - time graph\n4. when time increases, what happens to the distance?\n5. describe the object’s motion.\n6. what is the velocity of the object?

Answer

Explanation:

Step1: Analyze first graph

For the first position - time graph with a positive - sloped straight line.

Step2: Answer question 1

As time increases, the distance increases because the line has a positive slope.

Step3: Answer question 2

The object is moving at a constant speed away from the starting point (0 meters) since it has a straight - line positive - sloped graph.

Step4: Calculate velocity for question 3

The velocity (v=\frac{\Delta x}{\Delta t}). If we take two points, say ((0,0)) and ((10, 20)), then (v=\frac{20 - 0}{10 - 0}=2) m/s.

Step5: Analyze second graph

For the second position - time graph with a negative - sloped straight line.

Step6: Answer question 4

As time increases, the distance decreases because the line has a negative slope.

Step7: Answer question 5

The object is moving at a constant speed towards the starting point (0 meters) since it has a straight - line negative - sloped graph.

Step8: Calculate velocity for question 6

If we take two points, say ((0,20)) and ((10,0)), then (v=\frac{0 - 20}{10 - 0}=- 2) m/s.

Answer:

  1. The distance increases.
  2. The object is moving at a constant speed away from 0 meters.
  3. 2 m/s
  4. The distance decreases.
  5. The object is moving at a constant speed towards 0 meters.
    • 2 m/s