Question

How would you write a piecewise function for a real life situation?

Answer 1

The voltage for a 5micro Farad capacitor is v(t)=(24t)/.002 for t between 0 and 6 milliseconds, v(t)=(-24t)/.002+96 for t between 6 and 8 milliseconds and v(t)=0 for t>8 seconds. Determine the current? This is a "piecewise" function for a real life situation where you need the charge on a capacitor for a cell phone.