Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t, x) = x/t. Your measured distance and time have the following values and uncertainties x = 6.1 meters, 2.3 meters and t = 6.3 seconds and 1.5 seconds. What is the uncertainty in the average speed, ? Units are not needed in your answer.

The uncertainty in the average speed is 0.134 meters per second.

Step-by-step explanation:

Let be the average speed function, we calculate the uncertainty in the average speed by total differentials, which is in this case:

Where:

- Uncertainty in the average speed, measured in meters per second.

- Partial derivative of the average speed function with respect to distance, measured in .

- Partial derivative of the average speed function with respect to time, measured in meters per square second.

- Uncertainty in distance, measured in meters.

- Uncertainty in time, measured in seconds.

Partial derivatives are, respectively:

,

Then, the total differential expression is expanded as:

If we get that , , and , the uncertainty in  the average speed is:

The uncertainty in the average speed is 0.134 meters per second.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

noncoplanar points are points that do not lie on the same line.