If your initial speed was 19 , and you were heading due west, what was your average velocity during braking? Assume constant deceleration
Average velocity is half of the initial velocity when decelerating at a constant rate.
To calculate the average velocity during braking, we need to know the time taken to stop and the distance covered during braking. Since the question only provides the initial speed, we're missing crucial information. To find the average velocity during braking, we need to know the deceleration or rate of change of velocity over time.
However, let me explain how you can calculate the average velocity if you have the necessary information:
1. Determine the time taken to stop: This can be done by dividing the initial speed by the deceleration. For example, if the deceleration is 4 m/s^2, and the initial speed is 19 m/s, it would take 19 / 4 = 4.75 seconds to come to a stop.
2. Calculate the distance covered during braking: To find the distance traveled, you can use the formula: distance = (initial speed * time) - (0.5 * deceleration * time^2). Using the values from the previous example, the distance would be (19 * 4.75) - (0.5 * 4 * 4.75^2) = 35.8125 meters.
3. Finally, calculate the average velocity: This is done by dividing the distance traveled by the time taken to stop. If we continue with the previous example, the average velocity would be 35.8125 meters / 4.75 seconds = 7.537 meters per second.
Without the deceleration or time taken to stop, we cannot determine the average velocity during braking in this scenario.