Question

a croquet ball, after being hit by a mallet,slows down and stops. do the velocity and acceleration of the ball have the same signs

Answer 1

It depends. While slowing down acceleration will have negative sign but the velocity depends upon the initial point sonce velocity is a vector quantity if it is going back towards the initial position it will reduce but if it passes the initial position and goes back it will have negative sign....so it totally depends upon the situation.