A robot car encounters friction f(x),

Solve this equations using

its Dynamics ODE:

m is mass,

Fe is force from a movement of wheels and:

assuming it accelerates from 0 over a negligible short period of time,

so if in this case:

i). show that the Analytical Expression for Energy remaining in cell(battery) as function of t when charge U begins from t=0

i). Charge U beings from t=0, So as a function of time, Show that the Analytical Expression for Energy remaining in the battery is:

ii). given that Uo is the initial charge, what is tmax distance travelled on full charge? With trail-runs you assume that you expect to get

dax m = Fe(t)-f(x(t)) dt2 f(x) = fo + ax2. p(t) = vFe(t), 1 U(t) = U. vfot 313 3 ar-mar/(30) >> 1forallcmar dax m = Fe(t)-f(x(t)) dt2 f(x) = fo + ax2. p(t) = vFe(t), 1 U(t) = U. vfot 313 3 ar-mar/(30) >> 1forallcmar