Solving Parametrics: Sketch, Min Value, & Speed/Accel

[saywhaaaat]

Homework Statement

A particle moves in the xy-plane so that its position at any time t, 0 less than or equal to t, less than or equal to pi, is given by x(t) = ((t squared)/2))-ln(1+t) and y(t) = 3sint

a. sketch
b. At what time t, 0 less than or equal to t, less than or equal to pi, does x(t) attain its minimum value? What is the position (x(t), y(t)) of the particle at this time?
c. At what time t, 0 less than or equal to t, less than or equal to pi, is the particle on the y-axis? Find the speed and the acceleration vector of the particle at this time.

Homework Equations

The Attempt at a Solution

b. t=0, pi

c. set x(t) function to 0?

 

[EnumaElish]

c. Yes.
b. Can you describe how you got this answer?

 

[ace123]

Well it seems like you know what to do for the problem but you didn't show us any work for how you got the answer. So we can't help much