Suppose an object moves along the x-axis so that its position at time $t$ is $x=-t+\frac{t^3}{6}$.

(a) Find the velocity, $v(t)=x(t)$, of the object.

(b) What is $v(0)$? What does this say about the direction of motion of the object at time $t=0$?

(c) When is the object at the origin? What is the velocity of the object when it is at the origin?

1 answer

x(t) = -t + t^3/6
v(t) = dx/dt = -1 + t^2/2

I think you can now answer the questions if you think a bit.
Similar Questions
    1. answers icon 1 answer
  1. An object's movement has a velocity given by v(t) = t^2-5t+5A) What is the position function for the particle at any time t≥0?
    1. answers icon 3 answers
  2. An object at rest begins movinghorizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose,
    1. answers icon 0 answers
  3. An object at rest begins movinghorizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose,
    1. answers icon 0 answers
more similar questions