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Question 36

The graph below represents the relationship between speed and time for a car moving in a straight line.
Graph: Speed vs. Time
30
Speed(m/s)20
10
0 1.0 2.0 3.0
Time(s)
What is the acceleration of the car?

a
10 m/s2

b
0 m/s2

c
0.10 m/s2

d
1.0 m/s2

1 answer

To determine the acceleration of the car from the speed vs. time graph, we need to analyze the graph's slope.

The acceleration is defined as the change in speed divided by the change in time (a = Δv / Δt).

From the information given:

  • The speed increases from 0 m/s to 30 m/s over a time interval from 0 seconds to 3 seconds.

  1. Calculate the change in speed (Δv): Δv = final speed - initial speed = 30 m/s - 0 m/s = 30 m/s

  2. Calculate the change in time (Δt): Δt = final time - initial time = 3 s - 0 s = 3 s

  3. Now calculate the acceleration (a): a = Δv / Δt = 30 m/s / 3 s = 10 m/s²

Therefore, the correct answer is:

a) 10 m/s²