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 qr(:) - 33' + 2: 5 . what is the current at t= 0? O A. S O B. 0 O C. 2 The equation for the position of an object at time t is represented by the equation j(.:) = 4:2 2z . Which equation represents the instantaneous velocity at any given time, I\"? O A. Va) = 3: O B. v(z) = 4: O C. v(.:) = 4?. 2 O D. v(z)=3t2 The position of a train as it travels between two stations is described by the equation f () =90t2 + 2 , where f () is the distance in miles and t is time in minutes. What is its average velocity between minutes 3 and 7? O A. 816 mi./min. O B. 902 mi./min. O C. 1,310 mi./min. O D. 4,424 mi./min.The velocity of a car, in mph, is described by the equation v() = -2 +15. Describe the acceleration of the car at 5 seconds. O A. The car is slowing down at a rate of 10 mi./h2. O B. The car is speeding up at a rate of 10 mi./h2 . O C. The car is slowing down at a rate of 12 mi./h2. O D. The car is speeding up at a rate of 12 mi./h2