Question

Look at the velocity versus time graph below. What is the magnitude of the displacement of the object after it travels for three seconds?

A. 14 m
B. 10 m
C. 16 m
D. 12 m​

Answer 1

The magnitude of the displacement of the object after it travelled for three seconds is 12 m (Option D)

What is velocity?

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

How to determine the displacement

From the question given above, the following data were obtained:

• Time = 3 s
• Velocity = 4 m/s

• Displacement =?

Velocity = displacement / time

4 = displacement / 3

Cross multiply

Displacement = 4 × 3

Displacement = 12 m

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Answer 2

The magnitude of the displacement of the object after it travels for three seconds is 12 m​ because the veolcity remain the same at 4m/s.

What is the Magnitude of displacement?

Magnitude of displacement can be determined by multiplying the value of velocity with the time. We know that in the graph the velocity is 4 m/s whereas the time is 3 seconds so by multiplying we get 12 m​.

So we can conclude that The magnitude of the displacement of the object after it travels for three seconds is 12 m​.

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