(a) Is it possible to be accelerating if you are travelling at constant speed?
(b) Is it possible to move on a curved path with zero acceleration, constant acceleration, variable acceleration

Options

A. No, yes, no, no
B. Yes, no, yes, yes
C. Yes, no, no, no
D. No, no, yes, yes

Explanation

If speed is constant, velocity may change due to
change in direction and as acceleration is rate of
change of velocity so acceleration may not be zero
when speed is constant. Actually in uniform circular motion, speed = constant but acceleration `ne 0` .
For motion on a curve we at least have to change the direction of motion, so we will require a force and hence, acceleration i.e. it is not possible to round a curve with zero acceleration.
However, in rounding a curve acceleration may be constant or variable. In case of projectile motion acceleration is constant ` (=g vecg ) `while in case of circular motion acceleration `ne` constant, either due to change in direction or both change in direction and magnitude.
Hence correct answer is (B).