Question

show the velocity time graph for object in uniformly acceleration motion show that the slope of velocity time graph give the acceleration of object​

Answer 1

Answer:

i hope u will like it

Explanation:

it has no retardation means negative accelertion it has positive eccelation

Answer 2

Question :

Show the velocity time graph to object in uniformly acceleration motion show that slope of velocity time graph give the acceleration of object.

The object starts from point D in the graph with velocity u. It's velocity keeps increasing and after time t, it reaches the point B on the graph.

Given:

• The initial velocity of the object = u = OD.
• The final velocity of the object = v = OC
• Time = t = OE

Solution :

$\sf \: acceleration \: (a) = \dfrac{change \: in \: velocity}{time} \:$

$\implies \sf \dfrac{(final \: velocity - initial \: veocity)}{time}$

$\implies \sf \dfrac{(OC - OD )}{t} \:$

CD = at .... ( i ) ( OC - OD = CD )

We need to draw parallel to Y axis passing through B. This will cross the X axis in E. Draw a line parallel to X-axis passing through D. This will cross the line BE at A.

From the graph.... BE = AB + AE

V = CD + OD...... ( AB = CD and AE = OD )

V = at + u.......... ( from (i) )

therefore, V = u + at

This is the first equation of motion.

Remember !

The velocity of an accelerated object changes with time. Change in the velocity can be due to a change in direction or magnitude of the velocity or both.