I want to see each step to get to the answers. No steps, no credit.
Read the handouts in the resources part of the course website in Isidore.
You may submit this as handwritten provided I can read it.
4. (5) Error Propagation Exercise. Propagation of error will in general be more difficult than
the examples you have work through so far. Consider the equation:
$a = \frac{\Delta v_T}{\Delta t_T} = \frac{v_2 - v_1}{t_2 - t_1}$
The errors associated with the variables are $\sigma_a$, $\sigma_{v1}$, $\sigma_{v2}$, $\sigma_{t1}$ and $\sigma_{t2}$. Derive the errors for $\Delta v_T$
and $\Delta t_T$ first:
$\sigma_{\Delta v} = $
$\sigma_{\Delta t} = $
Use these to derive an equation for the error in the acceleration, a, in terms of the other
variables and errors. The units of each are different so you can't just add the error. Combine the
errors for $\Delta V$ and $\Delta t$ to get the error in the acceleration using the rule for combining errors of a
$\sigma_a = $