Post a New Question

trig

posted by .

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s= 2 sin pi t + 3 cos pi t, 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.

Can someone please help me with this question, the trig functions have me confused. Please and thanks again.

  • trig -

    PUt in the times given, first the final time,then calculate position, then put in the initial time, and calculate position.

    avg velocity=(finalposition-initialposition)/timeduration

  • trig -

    but how do we treat the cos and sin...just input them like that into the calculator or use radians?

  • trig -

    and also for (b) is the answer -2pi

  • trig -

    i got -3 for all part a can anyone verify that answer please

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics # 1

    1. If a particle moves in a plane so that its position is described by the function x = Acosùt, and y = Asinùt, it is a.) moving with varying speed along a circle b.) moving with constant speed along a circle c.) moving with constant …
  2. CALCULUS

    The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(ðt) + 5cos(ðt), where t is measured in seconds. (Round all answers to the nearest hundredth.) …
  3. 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 …
  4. calculus

    the displacement (in meter) of a particle moving in a straight line is given by the equation of motion s=5t^3+4t+2, where t is measured in seconds. Find the velocity of the particle at t=3.
  5. Calculus (Related Rates)

    The position of a particle moving in a straight line is given by s(t) = (e^(-t))(cos(5t)) for t>0, where t is in seconds. If the particle changes direction at time T seconds, then T must satisfy the equation: cos(5T) = 0 5T = arctan(-1/5) …
  6. Calculus

    The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 5/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3. (a) Find the …
  7. CALCULUS PLEASE HELP!!!

    SHOW WORK PLEASE!!! The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers …
  8. Math

    The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 4/t^2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3.
  9. math

    A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is time in seconds. Find (a) The displacement of particle at t = 5 (b) The velocity of the particle when t = …
  10. calculus

    velocity of a particle- the displacement s (in meters) of a particle moving in a straight line is given by the equation of motion s=4t^3+6t+2, where t is measured in seconds. Find the velocity of the particle s at times t=a t=1 t=2 …

More Similar Questions

Post a New Question