Question

As you drive, a passenger in your car records the following speeds at 8-second intervals: ((0 s, 20 m/s), (8 s, 20 m/s), (16 s, 20 m/s), (24 s, 20 m/s), (32 s, 20 m/s)}. Using a graph of the velocity as a function of time, determine your displacement between t = 0s and t = = 30 s.​

Answer 1

The displacement of the car with a constant velocity of 20 m/s over 30 seconds is calculated as 600 meters, which is the product of the velocity and time interval.

Step-by-step explanation:

When analyzing the motion of a car using a velocity vs. time graph, we can determine the displacement by looking at the area under the velocity-time graph between two points in time. In the student's scenario, the car has a constant speed of 20 m/s for a duration of 30 seconds. To calculate the displacement, we will use the formula:

• Displacement = Velocity × Time

Substituting the given values, we get:

• Displacement = 20 m/s × 30 s
• = 600 m

Therefore, the car's displacement between t = 0s and t = 30 s is 600 meters.