Speedometer readings are obtained and graphed below as a car comes to a stop along a straight-line path. How far does the car move between t = 0 and t = 14 s?
Where is the graph?
To determine the distance the car moves between t = 0 and t = 14 seconds using the given speedometer readings, we need to look at the graph provided.
The graph should represent the speedometer readings over time, with time on the x-axis and speed on the y-axis. Each point on the graph represents the speed of the car at a specific time.
To calculate the distance the car moves, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the total time taken.
To get the distance, we can calculate the area under the speed-time graph. This area represents the total distance traveled by the car.
To calculate the area under the graph, you can use numerical integration methods like the trapezoidal rule or Simpson's rule. These methods involve dividing the area under the curve into smaller trapezoids or curves and summing up their areas.
Alternatively, if there is a specific function or equation that represents the speed-time relationship, you can integrate that function over the given time interval to find the distance.
By applying these methods, you will be able to calculate the distance the car moves between t = 0 and t = 14 seconds based on the provided speedometer readings.