math(mechanics)

the acceleration of a particle as it moves along a straight line is given by a=(2t-1)m/s^2, where t is in seconds.if s=1m and v= 2m/s when t=0,determine the particles velocity and position when t=6s. Also, determine the total distance the particle travels during this time period.

  1. 👍
  2. 👎
  3. 👁
  1. a = 2t - 1
    then v = t2 - t + c
    when t = 0, v = 2
    2 = c
    then v = t^2 - t + 2

    s = (1/3)t^3 - (1/2)t^2 + 2t + k
    when t = 0 , s = 1
    1 = k

    s = (1/3)t^3 + (1/2)t^2 + 2t + 1

    plug in t=6 to get your results.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    the motion of a particle along a straight line is described by the function x=(2t-3)^2 where x is in metres and t is in seconds. A)find the position ,veocity and acceleration at t=2 sec. B) find the velocity of the particle at

  2. Physics

    A particle is moving along a straight line and its position is given by the relation x=( t3-6t2-15t+40)mm. Find:- (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c).

  3. math

    A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8. The distance of the particle from the origin after one second is 1o meters. Calculate the distance of the particle from the origin

  4. Dynamics

    A particle moves in accordance with the equation s=32+24t-2t? Find a) v-t relationship b) How far to the right of the origin does the particle go? c) s when t=0 d) acceleration of the particle at t=3sec

  1. Physics

    A positively charged particle is fixed in place, unable to move. Another positively charged particle is brought near and released. (a) Which way does it move? (b) What happens to the force, acceleration, and velocity on the moving

  2. AP CALC. AB

    A particle moves along a line so that at time t, where 0

  3. physics

    A body starts with an initial velocity of 10m/s and moves along a straight line with a constant acceleration. When the velocity of the particle becomes 50 m/s the acceleration is reversed in direction without changing magnitude.

  4. 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

  1. physics

    positively charged particle is fixed in place, unable to move. Another positively charged particle is brought near and released. (___/ 5) (a) Which way does it move? (b) What happens to the force, acceleration, and velocity on the

  2. Physics

    particle A moves along the line y = 30m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with 0 initial speed and constant

  3. math

    For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-5 . a. when id the particle at rest ? when is particle moving forward ? b. Find the total distance traveled by the particle

  4. calculus

    a particle moves along a straight line and has an acceleration given by a(t) = 6t+4 where a is measured in cm/sec^2. Its initial velocity is -6 cm/sec. Initially it sits 9 cm to the right of the origin. Find its displacement

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