Displacement-time graph?

Question

if the displacement is increasing, and the velocity is constant, then is the acceleration constant but not zero or is it increasing? i'm confused...

Answer 1

Since v = a*t, if v is constant, a must be 0.

Answer 2

i'll split my answer to 2 categories: first i'll consider the path of motion to be rectilinear(1-dimension);second i'll take 2-dimentional motion.

1- when the velocity is constant we say automatically acceleration is zero,and  that displacement increased uniformly with respect to time(uniform rectilinear motion)

2-if velocity is constant then we have only centripital acceleration(normal one is zero);here centripital acc equals v^2/r and is constant (where r is the radius of curvture).the motion is uniform circular motion

Answer 3

The acceleration is the rate of change of the velocity.

If the velocity doesn't change at all, the acceleration IS zero.