math;)

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.

  1. 👍
  2. 👎
  3. 👁
  1. Hey, you try first. You are supposed to know how to take the derivative of a polynomial.
    if y = a x^n
    then dy/dx = n a x^(n-1)

    and the derivative of a constant is therefore 0
    because if
    y = a x^0
    dy/dx = a * 0 * x^-1 = 0
    so if
    v = -t^2+15
    then
    a = dv/dt = -2 t + 0
    and at t = 5
    a = -2(5) = -10
    if dv/dt is negative and v is positive, it is slowing.

    1. 👍
    2. 👎
  2. did you ever get the answers to this i really need them.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    One light bulb in a string of lights goes out this causes all other lights in string to go out. This is example of A. Resistor B. parallel circuit C. Closed circuit***** D. Series circuit When a switch is turned from the off to

  2. science(check answers)

    1.D 2.A 3.A 4.im not sure please help 5.false One light bulb in a string of lights goes out. This causes all of the other lights in the string to also go out. This is an example of a A. resistor. B. parallel circuit. C. closed

  3. physics

    if one resistor is removed from a parallel circuit, the total current will 1) decrease b) increase c) remain the same and the current flowing through each of the remaining branches ____________________. removing one resistor makes

  4. Math

    The current, I, in amperes, for an electric circuit is given by the formula I=4.3sin120(pi)t, where t is time, in seconds. a)At what time is the current at its max volume? How does your understanding of co terminal angles help in

  1. Science

    To find the current in a complex circuit, it is necessary to know the potential difference in each device in the circuit. current in each device in the circuit. equivalent resistance of the circuit. number of branches in the

  2. Intermediate Algebra

    The amount of current flowing into an electrical circuit varies inversely as the resistance in the circuit. When the resistance of a particular circuit is 5 ohms, the current is 42 amperes. what is the current when the resistance

  3. physics

    which one of the following statements concerning an ac circuit is true? a) when only resistance is present in an ac circuit, voltage and current are in phase. b) on average, the power dissipated by resistor in an ac circuit is

  4. Physics

    Which material provides resistance to the flow of electrons? A. Silver B. Saltwater C. Salt crystals D. Copper A circuit has a resistance of 50.0 ohms. What is the voltage needed to generate a current of 0.02 amps? A. 100 volts B.

  1. Science

    Which choice most accurately explains the role of a circuit component in preventing a circuit from getting too hot and catching fire? (Select all that apply) 1-A fuse can be used to prevent a circuit from getting too hot. It will

  2. Electricity and Electronics

    1. A transformer has a primary voltage of 115 V and a secondary voltage of 24 V. If the number of turns in the primary is 345, how many turns are in the secondary? A. 8 B. 690 C. 72 D. 1,653 2. To use your left hand to determine

  3. Science

    Examine the scenario. A circuit is arranged so that 6 A of current is flowing through it. If the voltage is then tripled, which option correctly describes the effect on the current? a) When the voltage is tripled, there is a

  4. Science

    Megan wants to determine if an electrical circuit has electricity flowing through it. Which of the following evidence is proof that the circuit has an electrical current? a)The circuit is a closed loop. b)A light bulb is lit in

You can view more similar questions or ask a new question.