If the trajectory of a body is parabolic in one frame, can it be parabolic in another frame that moves with a constant velocity with respect to the first frame? If not, what can it be?

Frames moving uniformly with respect to an inertial frame are

Two bodies start moving in the same straight line at the same instant of time from the same origin. The first body moves with a constant velocity of 40 m/s, and the second starts from rest with a constant acceleration of 4 "m/s"^2 . Find the time that elapses before the second catches the first body. Find also the greatest distance between then prior to it and the time at which this occurs.