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7) take the following position time data and make a position time graph…

Question

  1. take the following position time data and make a position time graph and motion map:

0 1 2 3 4 5 6 7 8 9
t (s)
0 2 4 4 7 10 10 10 5 0
x (m)
position (m)
0 5 10
time (s)
0 5 10

Explanation:

Step1: Mark time - points on x - axis

Mark 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 s on the horizontal time - axis.

Step2: Mark position - points on y - axis

Mark 0, 2, 4, 4, 7, 10, 10, 10, 5, 0 m on the vertical position - axis corresponding to the time - points.

Step3: Connect the points

Use a straight line to connect the points (0,0), (1,2), (2,4), (3,4), (4,7), (5,10), (6,10), (7,10), (8,5), (9,0) to form the position - time graph.

For the motion map, at each time - instant, represent the position of the object as a dot on the vertical axis (position axis). Indicate the direction of motion with arrows. When the object is moving in the positive direction (increasing position), the arrow points upwards, and when moving in the negative direction (decreasing position), the arrow points downwards.

Answer:

The position - time graph is a line - graph with points (0,0), (1,2), (2,4), (3,4), (4,7), (5,10), (6,10), (7,10), (8,5), (9,0) connected. The motion map consists of dots at the corresponding positions on the vertical axis with appropriate direction arrows.