The graph below represents the relationship between speed and time for a car moving in a straight line.

What is the acceleration of the car?

a
10 m/s2

b
0 m/s2

c
1.0 m/s2

d
0.10 m/s2

1 answer

To determine the acceleration of the car based on the graph you mentioned, we need to analyze the relationship between speed (velocity) and time.

  1. Calculate the slope: Acceleration is defined as the change in velocity divided by the change in time (a = Δv/Δt). The slope of the speed versus time graph gives us the acceleration.

  2. Identify changes:

    • If the speed increases uniformly (a straight line with a positive slope), then the acceleration is constant and can be calculated.
    • If the line is horizontal (constant speed), the acceleration is zero.
    • If the line is horizontal at the speed of zero, the car is at rest and there is no acceleration.

Without the specific values or further clarity from the graph, I can't provide a numeric answer. However, based on the options you provided:

  • If the graph shows a straight line that rises, the acceleration is likely the slope of that line (check the change in speed over the change in time).
  • If it shows a flat line, choose b. 0 m/s².

You would need to calculate or visualize the slope from the graph to select the right answer.

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