Calculus (Answer Check)

posted by .

Are my answers right? If they are wrong you don't have to tell me how to do it its okay =)

A particle starts at time t=0 and moves along the x-axis so that its position at any time t(greater or equal to) 0 is given by x(t)=(t-1)^3 (2t-3)

1.find the velocity of the particle at any time t(greater or equal to) 0
2.for what values of t is the velocity of the particle less than zero?
3.find the value of t when the particle is moving and the acceleration is zero

My Answers:
1.(6t-9)(t-1)^2 + 2(t-1)^3
2.t(less than or equal to) 1
3.t=1

  • Calculus (Answer Check) -

    P1=(-3,2);P2=(-6,-2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus (Answer Check)

    A particle moves along the x-axis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t-1)(t-3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the …
  2. Calculus (Answer Check)

    A particle moves along the x-axis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t-1)(t-3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the …
  3. Calculus

    a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t-1)^3)(2t-3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity …
  4. calculus

    4. A particle starts at the point (5, 0) at t = 0 and moves along the x-axis in such a way that at time t > 0 the velocity is given by v(t)=t/(1+t^2) a. Determine the maximum velocity attained by the particle. Justify your answer. …
  5. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for …
  6. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for …
  7. Calculus

    A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine …
  8. Calculus

    a particle moves along the x-axis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle
  9. Cgs

    A particle moves along the x-axis so that at any time t>=0 its velocity is v(t)=9-t^2. If at t=1,is x=2, what is the position of the particle when it is furthest right on the x-axis .
  10. calculus

    Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. …

More Similar Questions