Kinematics help

[peak wraith]

Could anyone provide me a step by step explanation of this question of kinematics?
I'm not even sure how to approach the question. For context I have basic knowledge of kinematics and projectile motion included in it.

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[fathom jasper]

SBT level 3 iccc

[peak wraith]

Yeah

[peak wraith]

Have you solved this one?

[fathom jasper]

Yeah 1 year ago after seeing the solution....

[peak wraith]

Right

[fathom jasper]

I have to give it a try it's gonna be hard

[peak wraith]

I remember there was a jee advance pyq like this one

But it wasn't on an inclined plane

That makes it harder

[fathom jasper]

Was there?that would be too easy

[peak wraith]

Yeah

[fathom jasper]

Which class?

[peak wraith]

11th grade

[fathom jasper]

Alr

*You chose a great book.

[peak wraith]

Thanks 😄

[uneven elk]

Hm... Interesting.
The way (a) is asked makes me think they mean the answer shouldn't depend on any variables, which isn't obvious at first glance.

I guess we can try expressing the initial velocity of each bounce in terms of initial velocity of the bounce before?

[fair night]

its easy, just break the components alove the incline

after you solve for first 2-3 imapcts you'll start to see the pattern for consecutive flight ranges

[peak wraith]

What would be the choice of axis? And moreover how do we know the angle it of its rebound?

[peak wraith]

I'm not sure

I guess we have to relate the velocities to the angle of incline probably

[fair night]

it'll make the same angle with the incline while rebounding

[peak wraith]

How so?

You're talking about angle alpha here right?

[fair night]

break components of velocity just before impact

elastic collision reverses its perepdnicular velcity

while the velocity along incline remains same

[peak wraith]

No i understood that how do we initially sepreate them?

Like when its falling vertically

[fair night]

uh

velocity perpendicular to incline = vcosa

parallel to it = vsina

[peak wraith]

This one?

[fair night]

analyse this

and ask doubts

[peak wraith]

Its not parallel though

[fair night]

whats not parallel?

[peak wraith]

Lik the rebound line

[fair night]

its not rebound line

its just a horizontal line i made

for marking angles

[peak wraith]

Ah ok

[fair night]

theres no motion arrow on it

[peak wraith]

Right

But how would that help?

[fair night]

see that

[peak wraith]

If we don't know the actual angle

[fair night]

v cos a component?

[peak wraith]

Yeah

[fair night]

after collision

is become upright

(perpendicular to incline)

[peak wraith]

Right

[fair night]

and v sina remains as it is

[peak wraith]

I see

[fair night]

so

now

after the collision

can you find the angle between velocity and invline?

[peak wraith]

I guess

[fair night]

try it

[peak wraith]

Alright

I'll check it tmr i gtg sleep rn

[fair night]

alr

[ebon brook]

@peak wraith

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