math

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin ¦Ðt + 3 cos ¦Ðt, where t is measured in seconds.

(a)Find the average velocity during each time period.
(i) [1, 2]
(ii) [1, 1.1]
(iii) [1, 1.01]
(iv) [1, 1.001]
(b) Estimate the instantaneous velocity of the particle when t = 1.

  1. 👍 0
  2. 👎 0
  3. 👁 336
  1. On both my Mac and my PC your equation
    s = 4 sin ¦Ðt + 3 cos ¦Ðt

    came out with strange symbols that I could not read.
    Are the π or √ or something else ?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t − 7, 0 ≤ t ≤ 3 (a) Find the displacement. -7.5 m (b) Find the distance traveled by the particle during the given time

  2. AP Calculus

    A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval

  3. 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

  4. math

    The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 3t − 2, 0 ≤ t ≤ 3 Find the displacement 15/2 Find the total distance that the particle travels over the given interval

  1. physics

    Two forces, 1 = (3.85 − 2.85) N and 2 = (2.95 − 3.65) N, act on a particle of mass 2.10 kg that is initially at rest at coordinates (−2.30 m, −3.60 m). (a) What are the components of the particle's velocity at t = 11.8 s?

  2. Calculus (Derivatives)

    Two particles are moving in straight lines. The displacement (in meters) of particle 1 is given by the function e^(4cos(t)) , where t is in seconds. The displacement (in meters) of particle 2 is given by the function -(t^3)/(3) -

  3. Calculus

    A particle moves on a vertical line so that its coordinate at time t is 3 y = t − 12t+ 3, t≥ 0 . When is the particle moving upward and when is it moving downward? Find the distance that the particle travels in the first 3

  4. Calculus

    The velocity function is v(t)=t^2-4t+3 for a particle moving along a line. Find the displacement of the particle during the time interval [-1,6]

  1. Calculus

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

  2. Calculus

    The position of a particle moving on a horizontal line is given by s(t)=2t^3-15t^2+24t-5, where s is measured in feet and t in seconds. a: What is the initial position of the particle? b: What is the average velocity of the

  3. 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 = ?? I

  4. PHYSICS

    You ride your bike along a straight line from your house to a store 1030 m away. On your way back, you stop at a friend's house which is halfway between your house and the store. a) What is your displacement? b) What is the total

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