Amarathon runner completes a 42.188–km course in 2 h, 36 min, and 12 s. there is an uncertainty of 23 m in the distance traveled and an uncertainty of 3 s in the elapsed time. calculate the percent uncertainty in the distance.

The percentage uncertainty in the distance is 0.054%.

Uncertainty in a measurement measures the deviation of the measured values from the true value.

The distance d can be expressed in the form d+/-Δd, where Δd is the absolute uncertainty in the measurement of distance.

The percentage uncertainty  is given by,

The uncertainty in the measurement of distance is 23 m. Express the uncertainty in km.

Calculate the percentage uncertainty in the distance.

Thus, the percentage uncertainty in the measurement of distance is 0.054%

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s