At a certain instant, the velocity of cylinder b is 0.89 m/s down and its acceleration is 2.92 m/s2 up. determine the corresponding velocity and acceleration of block

a. the velocity and acceleration of a are positive if down the slope and negative if up the slope.

Both the velocity and acceleration are vector quantities. It means that this parameter does not only have magnitude, but also the direction of motion. The direction is incorporated by the + or - sign depending on the sign convention. In this case, the downward motion is + while the upward motion is -. Thus, the velocity is equal to + 0.89 m/s while the acceleration is - 2.92 m/s².