Question

A ball starts from rest, rolls down an inclined plane and then moves on a horizontal ground.
Neglecting friction, draw the v-t graph.​

Answer 1

Given:

A ball starts from rest, rolls down an inclined plane and then moves on a horizontal ground.

To draw:

The velocity-time graph.

Solution:

The initial velocity at the top of the inclined plane is zero.

So , Velocity at any instant "t" on the inclined plane

$\rm{v = u + at}$

$= > \rm{v = 0 + \{g \sin( \theta) t \}}$

$= > \rm{v =g \sin( \theta) t}$

$\boxed{= > \rm{v \:\propto \:t}}$

So, the velocity-time curve will be linear when it travels on the slope.

Now , after travelling from inclined plane to horizontal Ground , its Velocity will become constant because it will not experience any more acceleration.

So, the velocity-time graph will become parallel to time axis when it travels on the horizontal ground.

So, the required graph:

$\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,6)\put(1,1){\vector(1,0){3}}\put(1,1){\vector(0,1){3}}\put(1,1){\line(1,1){1}}\put(2,2){\line(1,0){2}}\put(1,4){v}\put(4.25,1){t}\put(1,0.25){Velocity-Time\: Graph}\end{picture}}$

Answer 2

Answer:

THIS IS YOU ANSWER

IS CORRECT SO THANKS!!!!!!!