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A PARTICLE IS MOVING IN A PLANE SUCH THAT ITS VELOCITY AT TIME T= 0 SECOND IS 56I^ + 45J^ + 90K^. ALSO ITS VELOCITY IS RELATED TO THE TIME AS V = del/del(t)(3t^2 + 72t^56 +85z) + ln(2t+5). ..........(here del/del(t) is partial derivative with respect to t) now, also its displacement varies with time as - integral (1/5.2t^2 + 78|ln(6t+5)| + v (integral means the integration symbol) find the acceleration and displacement at time t = 60 seconds.

A PARTICLE IS MOVING IN A PLANE SUCH THAT ITS VELOCITY AT TIME T= 0 SECOND  IS 56I^ + 45J^ + 90K^.


ALSO ITS VELOCITY IS RELATED TO THE TIME AS V = del/del(t)(3t^2 + 72t^56 +85z) + ln(2t+5). ..........(here del/del(t) is partial derivative with respect to t)


now, also its displacement varies with time as - integral (1/5.2t^2 + 78|ln(6t+5)| + v (integral means the integration symbol)


find the acceleration and displacement at time t = 60 seconds.


 


 

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1 Answers

Aman Bansal
592 Points
8 years ago

Dear Adarsh,

An Italian experiment has unveiled evidence that fundamental particles known as neutrinos can travel faster than light. Other researchers are cautious about the result, but if it stands further scrutiny, the finding would overturn the most fundamental rule of modern physics—that nothing travels faster than 299,792,458 meters per second.

The experiment is called OPERA (Oscillation Project with Emulsion-tRacking Apparatus), and lies 1,400 meters underground in the Gran Sasso National Laboratory in Italy. It is designed to study a beam of neutrinos coming from CERN, Europe''s premier high-energy physics laboratory located 730 kilometers away near Geneva, Switzerland. Neutrinos are fundamental particles that are electrically neutral, rarely interact with other matter, and have a vanishingly small mass. But they are all around us—the sun produces so many neutrinos as a by-product of nuclear reactions that many billions pass through your eye every second. [Click here to read more about CERN''s Large Hadron Collider]

The 1,800-tonne OPERA detector is a complex array of electronics and photographic emulsion plates, but the new result is simple—the neutrinos are arriving 60 nanoseconds faster than the speed of light allows. "We are shocked," says Antonio Ereditato, a physicist at the University of Bern in Switzerland and OPERA''s spokesman.

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Aman Bansal

Askiitian Expert

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