Question

for a body of given mass graph between velocity of the body and its linear momentum is

Answer 1

Velocity time graphs

The variation in velocity with time for an object moving in a straight line can be represented by a velocity-time graph.

In this graph, time is given along the x-axis and the velocity is given along the y-axis.

The displacement of an object moving with uniform velocity can be given by the product of velocity and time. The area enclosed by velocity-time graph and the time axis will be equal to the magnitude of the displacement.

When a body is moving with a constant velocity, then the velocity time graph for this body is a straight line parallel to time axis as shown below in the figure 5.



The velocity time graph of uniformly changing velocity is shown in figure 6 and is a straight line. One can figure out the value of acceleration by using the velocity time graph.

When the velocity of a body changes keeps changing in a irregular manner, then the velocity time graph of the body is a curved line.

Equations for Motion in a Straight Line

There are three equations of kinematics.

1) vv = u+at+at

2) SS = ut+ 1/2at2

3) v2= u2+2as

Important note:

Where

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance traveled by a body

t =  Time taken.

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