# Thread: Help with uncertainty using differentials

1. ## Help with uncertainty using differentials

You travel at a constant speed 100 +- 2 km/hour for 50 +- 1 second.
Use differential to estimate the distance you traveled in the 50 seconds.

2. Originally Posted by khuezy
You travel at a constant speed 100 +- 2 km/hour for 50 +- 1 second.
Use differential to estimate the distance you traveled in the 50 seconds.
Let D be distance, v speed, and t time. You first need to convert the given speed into m/s. Then use:

$D(v, t) = vt$.

$D(v , t) = D(v_0, t_0) + v_0 \Delta v + t_0 \Delta t$.