Question

Velocity-time graph for the motion of an object in a straight path is a straight line parallel

to the time axis.

(a) Identify the nature of motion of the body.

(b) Find the acceleration of the body.

(c) Draw the shape of distance-time graph for this type of motion.​

Answer 1

Answer:  

(a) The motion of the body is uniform.  

(b) The acceleration of the body is zero.  

(c) The distance time graph is a straight line passing through the origin in the xy plane.

Solution:

As the velocity time graph is showing a ‘straight line’ parallel to the time axis, this means that the motion of the body is uniform. So, there is ‘no change’ in the velocity of the body with respect to time. As the body is in uniform motion with constant velocity, the acceleration of the body will be zero because acceleration is defined as the rate of ‘change of velocity’ per unit time.  

As there is ‘no change in velocity’, the acceleration will be zero. The velocity is constant with time so only there is no change in acceleration, this means the body covers distance linearly with time. So, the distance time graph will be ‘linear plot’ or ‘straight line’ passing through origin in the xy plane.

Answer 2

Answer:

Explanation:a.uniform velocity

b.zero

c.distance-time graph will be a straight line