JEE Main Physics Mechanics #47 Velocity vs Distance Graph

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The velocity-displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle’s motion is best described by…
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[@byronruhter1480]

I always enjoy Dr. van Biezen's clear explanations. His teaching is excellent and his knowledge approaches infinity.

[@subashnair5676]

graph must be an horizontal line ( derivative of gradient (slope) is a constant) and falls down to zero at 200 ?

[@madhavstudyaccount224]

Nice little problem

[@MichelvanBiezen]

Glad you liked it.

[@Icytroll]

Hello, I'm having a hard time accepting that both velocity and acceleration can both be linear at the same time when plotted as a function of distance x, and at the same time be both continuous in the case of velocity and discontinuous in the case of acceleration at the point x = 200.
Myself (and many others probably) and mostly versed in the time domain when talking about distance, velocity and acceleration problems, and I think it would make for a very satisfying connection if you were able to convert this specific example to the time domain and explain such a conversion in more detail (I guess I'm specifically asking about comparing v(t) with v(x) and a(t) with a(x) if possible).

[@sinjon_Barik]

Damn

[@MichelvanBiezen]

Challenging indeed.

[@minhhainguyen2671]

❤❤❤❤❤. Thanks a lot.

[@MichelvanBiezen]

You're welcome 😊

[@jakubkusmierczak695]

wow

[@MichelvanBiezen]

An interesting problem indeed.

[@jakubkusmierczak695]

@@MichelvanBiezen it blew my mind