Question

A particle moves along the x axis. Its position is given by the equation
x = 1.9 + 2.5t − 3.7t2 with x in meters and t in seconds.

(a) Determine its position when it changes direction.
____m

(b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.)
____m/s