# 1. The current flowing through an electric circuit is the derivative of the charge as a function of time. If the charge q is given by the equation q(t)=3t^2+2t-5, what is the current at t=0?

a. -5

b. 0

c. 2

d. 8

2. The equation for the position of an object at time t is represented by the equation f(t)=4t^2-2t. Which equation represents the instantaneous velocity at any given time, t?

a. v(t)=8t

b. v(t)=4t

c. v(t)=4t-2

d. v(t)=8t-2

3. The position of a train as it travels between two stations is described by the equation f(t)=90t^2+2t, where f(t) is the distance in miles and t is time in minutes. What is its average velocity between minutes 3 and 7?

a. 816 mi./min.

b. 902 mi./min.

c. 1,310 mi./min.

d. 4,424 mi./min.

4. The velocity of a car, in mph, is described by the equation v(t)=-t^2+15. Describe the acceleration of the car at 5 seconds.

a. The car is slowing down at a rate of 10 mi./h^2.

b. The car is speeding up at a rate of 10 mi./h^2.

c. The car is slowing down at a rate of 12 mi./h^2.

d. The car is speeding up at a rate of 10 mi./h^2.