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 = 5
(c) The values of t when the particle is momentarily at rest
(d) The acceleration of the particle when t = 2

  1. 👍 0
  2. 👎 0
  3. 👁 289
asked by kudu
  1. S(5) = 125 -125 + 4 = 4

    v = 3 t^2 - 10 t
    v(5) = 75 - 50

    when is v = 0?
    3 t^2 - 10 t = 0 = t(3 t - 10)
    t = 0 or t - 10/3

    a = 6 t - 10
    a(2) = 12 - 10 = 2

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    A particle with a velocity of 2m / s at t = 0 moves along a straight line with a constant acceleration of 0.2m / s s.find the displacement of the particle in10 second

    asked by ashu on May 11, 2016
  2. physics

    a particle with velocity of 2m/s at t= 0 moves along a straight line with constant acceleration of 0.2m/s2. find the displacement of the particle in 10 seconds

    asked by Joshin on August 9, 2014
  3. kinematics

    these are two similar kinematics maths question which i don't know. Please help! 1)A particle moves in a straight line so that its distance, s metres, from a fixed point O is given by s = 2t^3 - 3t^2 - 12t + 6, where t is the time

    asked by zachary on June 19, 2009
  4. 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

    asked by Anonymous on May 16, 2015
  5. 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.

    asked by Tay Tay on February 12, 2015
  6. math

    The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 6/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3.

    asked by Yuxiang Nie on February 21, 2019
  7. dynamic

    A particle moves along a straight line with an acceleration of m/s2, where s is in meters. Determine the particle’s velocity when s = 2m, if it start from rest when s = 1m.

    asked by Adel on June 30, 2012
  8. ap calculus

    A particle moves along a straight line with displacement s(t), velocity v(t), and acceleration a(t). Show that a(t) = v(t) dv/ds.

    asked by alyssa on November 4, 2010
  9. calculus

    A particle moves in a straight line under a force such that its displacement s(t), in metres, at time t seconds, is given by s(t) = t3 − 5t2 + 3t +15 Find the time at which the particle is at rest?

    asked by Mat on May 23, 2013
  10. math

    The displacement (in meters) of a particle moving in a straight line is given by s = 4 t^3 where t is measured in seconds. Find the average velocity of the particle over the time interval [ 7 , 9]. Find the (instantaneous)

    asked by PAT on November 3, 2015

More Similar Questions