Ask Question
26 May, 15:38

A particle moves along the x-axis so that at any time t, its position is given by x (t) = 1/2 sint+cos (2t). What is the acceleration of the particle at t=pi/2

+4
Answers (1)
  1. 26 May, 16:51
    0
    X (t) = 1/2sin t + cos (2t)

    speed = x' (t) = 1/2cos t - 2sin (2t)

    acceleration = x'' (t) = - 1/2sin t - 4cos (2t)

    When t = pi/2,

    acceleration = - 1/2sin (pi/2) - 4cos (pi) = - 1/2 - 4 (-1) = - 1/2 + 4 = 3 1/2 = 7/2 m/s^2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A particle moves along the x-axis so that at any time t, its position is given by x (t) = 1/2 sint+cos (2t). What is the acceleration of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers