Calculus

Find the velocity, v(t), for an object moving along the x-axis in the acceleration, a(t), is a(t)=cos(t)-sin(t) and v(0)=3

a) v(t)=sin(t) + cos(t) +3
b) v(t)=sin(t) + cos(t) +2
c) v(t)= sin(t) - cos(t) +3
d) v(t)= sin(t) - cos(t) +4

  1. 👍
  2. 👎
  3. 👁
  1. a = cost - sint = dv/dt
    so, v = sint + cost + C
    now solve v(0) = 3 to find C

    1. 👍
    2. 👎
  2. so will be answer A, right?

    1. 👍
    2. 👎
  3. NO!
    sin(0) + cos(0) + C = 3

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    A particle is moving along the x- axis so that its velocity at any time t ≥0 is give by v(t) = (2 pi - 5)t - sin(pi t) A. Find the acceleration at ay time t. B. Find the minimum acceleration of the particle over the interval

  2. physics

    Only two forces act on an object (mass = 4.00 kg), as in the drawing. Find the magnitude and direction (relative to the x axis) of the acceleration of the object. Ftotal=Sqrt(60^2+40^2)=72.11(N) Angle=tan-1(60/40)= 56.3° (How did

  3. physics

    The force shown in the force-time diagram in Figure P6.11 acts on a 1.4 kg object. (a) Find the impulse of the force. (b) Find the final velocity of the mass if it is initially at rest. (c) Find the final velocity of the mass if

  4. Physics

    A 5.00 g object moving to the right at +20.0 cm/s makes an elastic head-on collision with a 10.0 g object that is initially at rest. (a) Find the velocity of each object after the collision. 5.00 g object cm/s 10.0 g object cm/s

  1. physics

    a 25kg object moving with a velocity of 3m/s to the right collided with a 15 kg object moving to the left at 6 m/s. determine the velocity of the 25kg object after the collision if 15kg object a. continued to move to the left, but

  2. physics

    Three forces acting on an object are given by F1 = ( - 1.85i + 2.50j) N, F2 = ( - 5.10i + 3.25j ) N, and F3 = ( - 45.0i + 48.0j ) N. The object experiences an acceleration of magnitude 3.75 m/s2. (a) What is the direction of the

  3. physics

    If an object is moving at a constant velocity, which must be true?(1 point) Its acceleration is increasing. Its acceleration is a non-zero constant. Its acceleration in decreasing. Its acceleration is zero

  4. math

    Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'' (t) is its acceleration. x(t) = t3 − 12t2 + 21t − 9, 0 ≤ t ≤ 10 Find the open t-intervals on

  1. Physics

    Need serious help!! 1. How can the momentum of a moving object be found? A. By multiplying its mass by its acceleration. B. By dividing its change in distance trabeled by the time it travels. C. By dividing its velocity bu the

  2. math

    The acceleration of a particle at a time t moving along the x-axis is give by: a(t) = 4e^(2t). At the instant when t=0, the particle is at the point x=2, moving with velocity v(t)=-2. Find the position of the particle at t=1/2 if

  3. calc

    Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4

  4. physics

    An object moves along a straight line and the velocity as a function of time is presented by the above graph. a. Find the acceleration of the object for the time intervals: 0-5 s, 5 s- 10 s, 10 s-15 s, 15 s – 20 s, 20 s – 25

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