Question

The accompanying graph of position x versus time t represents the motion of a particle. If p and q are both positive constants, the expression that best describes the acceleration a of the particle is

(a) a = -p - qt

(b) a = -p + qt

(c) a = p + qt

(d) a = p - qt

Answer 1

Answer is : (d) a = p - qt

We have following observations from position x versus time t graph.

From above graph we can draw following velocity v versus time t graph.

So, acceleration of given particle is initially positive but with time it becomes negative.

Hence, a = p - qt is best suited option.