Calculus 12th grade.

posted by .

1. A body is moving along a straight line with a velocity which varies according to the equation v=9t^2+2t, where v is in feet per second and t is in seconds. Find the expression for the distance as a function of time.
A. 3t^3+t^2+C
B. 3t^3+2t^2+C
C. 18t+C
D. 20t+C

My answer is B.

  • Calculus 12th grade. -

    recall that velocity is the change in position over change in time, or:
    v = dx/dt
    where x=distance, and t=time
    thus equating this to the given function,
    dx/dt = 9t^2 + 2t
    dx = (9t^2 + 2t)dt
    integrating,
    x - xo = 3t^3 + t^2 + C
    if we assume that the initial displacement is zero or xo = 0, this becomes:
    x = 3t^3 + t^2 + C

    your answer is correct~! :D

  • Calculus 12th grade. -

    I don't know how to do this

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 12th Grade Calculus

    When a ball is thrown straight down from the top of a tall building, with initial velocity 30 ft/sec, the distance from the release point at time t in seconds is given by s(t)=16t^2+30t. If the release point is 300 ft above ground, …
  2. physics]

    a body moving along a straight line at 20 m/s undergoes an acceleration of 4 metre per second square.after two seconds what will be its speed?
  3. algebra

    An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight …
  4. algebra

    An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight …
  5. science/ velocity

    a body moves along a straight line,its distance from the origin at any instant being given by the equation x= 8t -3t squared, where x is in centimeter and t is in seconds. find the average velocity of the body in the interval from …
  6. Math

    A strees light L hangs H feet above a flat straight street. A person h feet tall at point O directly under the street light at time t=0 seconds, moves in a straight line along the street a v feet/second. If H=20 feet, h=6 feet, and …
  7. Calculus

    A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = π seconds. Do I have to take …
  8. Calculus - Falling Body Problem

    Near the surface of the earth, the acceleration of a falling body due to gravity is 32 feet per second per second, provided that air resistance is neglected. If an object is thrown upward from and initial height of 3000 feet with a …
  9. calc

    The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = t3 − 10t2 + 27t − 18, 1 ≤ t ≤ 7 Find the displacement Find the total distance that the particle travels over the given …
  10. Physics y.s.n.

    A body start with an initial velocity of 10metre per second move along the straight line with constant acceleration and the velocity of the body is 50 metre per second the acceleration is reversein the direction find the velocity of …

More Similar Questions