Capacitor and electric automobile

We want to store sufficient energy in a .01-F capacitor to supply 5-hp for 1 hour. To what voltage must the capacitor be charged? (1 hp=745.7 watts). Does this seem to be a practical method for storing this amount of energy? Do you think that an electric automobile based on capacitive energy storage is feasible?

Capacitance

The current through a 3-uF capacitance is shown in the attachment. At t=0, the voltage is v(0)=10v. Sketch the voltage, power, and stored energy to scale vs. time. In the sketch of each one, I need the equations worked out for each plot. (See attached file for full problem description)

Capacitance

Prior to t=0, a 100- uF capacitance is uncharged. Starting at t=0, the voltage across the capacitor is increased linearly with time to 100V in 2s. Then, the voltage remains constant at 100V. Sketch the voltage, current, power, and stored energy to scale versus time. Please show equations for the sketches.

Capacitance

Find the stored charge and energy for a 5-uF capacitor that is discharged to 1000V. If this capacitor is discharged to 0v in a time interval of 1us, find the averge power delivered by the capacitor during the discharge interval? I do not understand how to to find the answer for either part.

First order RC circuit

Attached is the problem...if you could help me understand it step by step and the graph as well please. thank you