Electric Potential and Electric Potential Energy

A typical 12 V car battery can deliver 9.0 x 10^5 C of charge. If the energy supplied by the battery could be converted entirely to kinetic energy, what speed would it give to a 1200 kg car in m/s?

Bits in powerlab

The specification for a Powerlab indicates that for a particular setting of the device, the inputs have a range of +/- 10 volts and a resolution of 312.5uV. Given this info, how many bits is the A/D in the Powerlab?

In the circuit below how long does it take for the current to drop to 1 uA when the switch is moved from position A to B. (Assume that it has been at A for a long time)

In the circuit below how long does it take for the current to drop to 1 uA when the switch is moved from position A to B. (Assume that it has been at A for a long time)

Capacitors and derivations

I am confused on specific calculations only. the derivations. scan003.jpg part 1 a). the derivation scan003.jpg part 1 c). the derivation scan0004.jpg a). the derivation I have an limited understanding of how to derive current, but with being weak in math, these derivations do not seem obvious to me. Please include as many steps as possible so I can understand the process. (See attached files for full problem description)

Capacitance

Part e... if my measurement for part b is1.03 s , 12.02v and my measurement for part d is1.72 s, 3.78 v...I'm so lost at combining these calculations. and scan4.jpg, part b. is this similar to part a? i think i'm missing some math here.