calculus

posted by .

Find the total distance traveled by the particle moving along a straight line with velocity v=sinpit for 0<t<2.

  • calculus -

    Distance travelled = integral of V dt
    = Integral of sin (pi*t) dt
    t = 0 to 2
    = - cos(2) + cos(0) = 1 - cos(2) = 0.58385

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    A particle moves in a straight line with velocity t^-2 - 1/9 ft/s. Find the total displacement and total distance traveled over the time interval [1,4]. I found out that the total displacement is .4116 But I cannot find the total distance …
  2. math

    The velocity function is v(t) = t^2 - 6 t + 8 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,6].
  3. Calculus-particle motion

    1. A particle is moving on the x-axis (or any number line) Its position x(t), or distance from the origin, at the time t is given by x(t)=4t^3-16t^2+15t. t is greater than or equal to 0 a.) Where is the particle when it is at rest?
  4. calculus

    The velocity function is v(t) = - t^2 + 4 t - 3 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-2,6].
  5. Calculus

    A particle travels along the x-axis so that its velocity is given by v(t)=cos3x for 0<(or equal to)t<(or equal to)5. When t=0, the particle is at x=5. a. What is the smallest x-coordinate of the particle?
  6. calculus

    5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5?
  7. physics,dynamics

    The acceleration of a particle along a straight line is defined by a = (2t - 9) m/s2, where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, …
  8. math

    For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-5 . a. when id the particle at rest ?
  9. Calculus (math)

    The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3−5t2. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. Distance traveled = ?
  10. Calculus

    The velocity function is v(t)=t^2−5t+4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,5]. So I found the antiderivative of the function, which gave …

More Similar Questions