2) You take the following measurements for the distance a toy car travels in 10 seconds during each 5 trials: 157cm, 175cm, 162cm, 168cm, 187cm. What are the relative uncertainties of the distance and time measurements? Which measurement is the most uncertain?

· (157 + 175 + 162 + 168 + 187)/5 = 169.8

· 169.8 – 157 = 12.8

169.8 – 175 = 5.2

169.8 – 162 = 7.8

169.8 – 168 = 1.8

169.8 – 187 = 17.2 +

44.8 / 5 = 8.96

· 169.8 8.96cm absolute uncertainty



· (8.96/ 169.8)* 100 = 5.28% relative uncertainty cm.



· (.5/10)* 100 = 5% relative uncertainty sec.



· Conclusion: looking through the relative uncertainties, the distance measurement is the most uncertain at the percentage rate of 5.28%.

3)Calculate the average speed of the toy car. Use the weakest link rule to determine the uncertainty in the speed.

I need help please...

To calculate the average speed of the toy car, you need to use the formula:

Average Speed = Distance / Time

From the previous question, we have determined that the average distance traveled by the toy car is 169.8 cm, and the relative uncertainty of the distance measurement is 5.28%.

Now, let's determine the uncertainty in the time measurement. In this case, the time measurement is given as 10 seconds, and the relative uncertainty for the time measurement is 5%.

To calculate the uncertainty in the speed using the weakest link rule, you need to consider which measurement has the highest relative uncertainty. In this case, the distance measurement has a higher relative uncertainty (5.28%) compared to the time measurement (5%). According to the weakest link rule, the relative uncertainty of the speed is equal to the relative uncertainty of the measurement with the highest relative uncertainty, which in this case is the distance measurement.

Therefore, the relative uncertainty in the speed is also 5.28%.

To calculate the average speed, use the formula mentioned earlier:

Average Speed = Distance / Time

Average Speed = 169.8 cm / 10 seconds

Average Speed = 16.98 cm/s

Therefore, the average speed of the toy car is 16.98 cm/s, with a relative uncertainty of 5.28%.