Answer to Question #284946 in Physics for grey tyrant

Question

Activity 8.3: Linear versus Rotational

How does a rigid body rotate if the ω and α have the same sign (say +)? Compare these relationships between linear acceleration (a) and linear velocity (v) for straight line motion.

Answer 1

For both linear and angular acceleration and velocity the sign of acceleration impacts the sign of velocity in the following way:

1) a body started with positive initial velocity with positive acceleration at infinite time results in positive final velocity

2) a body started with positive initial velocity with negative acceleration at infinite time results in negative final velocity.