A car is traveling with a constant speed 80 miles per hour a road that makes half a circle. What is the average velocity of the car?

Is it: 80(pi/2)=125.6? or should I use the formula: Äd/Ät= 80/(pi/2)=50.95?

During the time required to travel half a circle, the car moved a distance pi D/2 along the road, but advances only a distance D from its trarting position. Therefore the velocity is 2/pi times the speed during that time interval. The velocity would be 50.93 mph

To calculate the average velocity of the car, you should use the formula: average velocity (Vavg) = total displacement (Δd) / total time interval (Δt).

In this case, since the car is traveling along a road that makes half a circle, the total displacement of the car is equal to half the circumference of the circle, which is (π/2) times the radius of the circle.

The formula you should use is: Vavg = Δd / Δt = (80 * π/2) / Δt.

However, you have not provided any information about the time interval (Δt) during which the car travels. Without this information, I cannot calculate the average velocity for you.

Please provide the time interval during which the car travels so that I can calculate the average velocity for you.

To find the average velocity of the car, we need to consider the definition of velocity. Velocity is a vector quantity that includes both speed and direction. In this case, since the car is traveling along a road that makes half a circle, it is constantly changing direction. Therefore, we cannot simply use the speed of the car to find the average velocity.

To find the average velocity, we need to consider the displacement of the car within a given time period. The displacement is the change in position of the car. In this case, the car is moving in a circular path, so its displacement will be the distance traveled along the circumference of half a circle.

Let's calculate the displacement. The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, since we have half a circle, the distance traveled would be half the circumference. So, the displacement, in this case, would be (1/2)(2πr), which simplifies to πr.

Now, we need to consider the time it takes for the car to travel half a circle. We are not given the time explicitly, but we can use the fact that the car is traveling at a constant speed of 80 miles per hour. Since speed is distance divided by time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed. In this case, the distance is πr (the displacement we calculated) and the speed is 80 miles per hour.

Now, we have the formula for time: time = πr / 80.

To find the average velocity, we divide the displacement by the time:

average velocity = displacement / time
average velocity = (πr) / (πr / 80)
average velocity = 80 miles per hour

So, the average velocity of the car is 80 miles per hour, regardless of the radius of the road.