Question

Question 4:
What conclusion can you draw about the velocity of a body from the displacement-time graph shown below :


Lakhmir Singh Physics Class 9

Answer 1

Answer:

What conclusion can you draw about the velocity of a body from the displacement-time graph shown below :

Answer 2

displacement-time graph is a straight line which initiates from origin. so, it represents uniform velocity . means, a body moves with constant velocity.

analytical method : as we know, velocity is the rate of change of displacement with respect to time.

i.e., v = dx/dt or, ∆x/∆t or, (x2 - x1)/(t2 - t1)

it means, velocity is the slope of displacement-time graph.

in given situation, displacement is directly proportional to time.

i.e., x ∝ t ⇒x = kt , where k is proportionality constant.

now, differentiating with respect to time.

dx/dt = v = k

hence, it is clear that velocity is constant i.e., k

so, we can say, graph represents uniform velocity