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.

ADARSH ABHIJAT, 11 years ago

Grade:

1 Answers

Aman Bansal

592 Points

11 years ago

Dear Adarsh,

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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]

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