Consider all five resistors connected as shown in the circuit diagram above. (a)  Calculate the equivalent resistance for the circuit.

(b)  Determine the total current in the circuit.

(c)   Calculate the voltage across the 6 ohm resistor.

(d)  Determine the voltage across the 4 ohm resistor.

(e)  Calculate the current through the 5 ohm resistor.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".