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 = 7.5 meters, delta x space equals space 1.4 meters and t = 2.9 seconds and delta t space equals space 1 seconds. What is the uncertainty in the average speed, delta v ?

delta of velocity is 1.558 m/s

Step-by-step explanation:

The main problem is to determine degree of association with the rule of rounding and errors calculation. As out main equation includes division, the following rule can be applied:

where ev- delta v, ex- delta x, et- delta t

As a result, we need to calculate the worst case scenarios: maximum distance over minimum time and minimal distance over the largest time to get maximum and minimum velocity:

Then, we can calculate the value of velocity and its error:

Note, that delta t was used as 1 s.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3