Question

As you drive, a passenger in your car records your speed at 10-second intervals. The passenger records the following data: {(0 s, 18 m/s), (10.0 s, 18 m/s), (20.0 s, 18 m/s),

(30.0 s, 18 m/s), (40.0 s, 18 m/s)}. Using a graph of the velocity as a function of time, determine your displacement between t = 10.0 s and t = 35.0 s.

Answer 1

The displacement between t = 10.0 s and t = 35.0 s is 450 m.

Step-by-step explanation:

To determine the displacement between t = 10.0 s and t = 35.0 s, we need to analyze the graph of velocity as a function of time. From the given data, we can see that the velocity remains constant at 18 m/s throughout the entire duration. Since the velocity is constant, the displacement can be calculated using the formula: displacement = velocity * time. Therefore, the displacement between t = 10.0 s and t = 35.0 s is:

displacement = (18 m/s) * (35.0 s - 10.0 s) = 18 m/s * 25.0 s = 450 m.