Question

An object is moving in a straight line and its graph of position versus time is shown in above graph. Which of the following show correct relation between speed and acceleration of the object.

	SPEED	ACCELERATION
(A)	Increasing	Increasing
(B)	Increasing	Constant but not zero
(C)	Constant but not zero	Increasing
(D)	Constant but not zero	Zero
(E)	Zero	Constant but not zero

Answer 1

The slope of Position-time graph gives the velocity (speed) of particle at that instant.

As the slope of the graph is constant but not zero, thus the speed of the particle is constant but not zero.

Also acceleration $a=\frac{dv}{dt}=0$ $(\because dv=0)$