the velocity v of a body moving along a straight line varies with time t as v= 2t 2 e -t , where v is in m/s and t in sec. The acceleration of body is 0 at t= 1)0 2)2 3)3 4)both (1) and (2)

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bharat bajaj · Answer

v= 2t 2 e -t ..... a = dv/dt = 2. ( -t^2. e^(-t) + e^(-t).2t) = 2.t.e^(-t) ( 2 - t) ..... Hence, a = 0 at t = 0 and t = 2 s....Option 4) is correct....THanks..Bharat Bajaj...IIT Delhi askiitians faculty

Arun Kumar · Answer

Hello Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty

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the velocity v of a body moving along a straight line varies with time t as v= 2t 2 e -t , where v is in m/s and t in sec. The acceleration of body is 0 at t= 1)0 2)2 3)3 4)both (1) and (2)

the velocity v of a body moving along a straight line varies with time t as v= 2t²e^-t , where v is in m/s and t in sec. The acceleration of body is 0 at t=
1)0
2)2
3)3
4)both (1) and (2)

2 Answers

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the velocity v of a body moving along a straight line varies with time t as v= 2t 2 e -t , where v is in m/s and t in sec. The acceleration of body is 0 at t= 1)0 2)2 3)3 4)both (1) and (2)

the velocity v of a body moving along a straight line varies with time t as v= 2t2e-t , where v is in m/s and t in sec. The acceleration of body is 0 at t=1)02)23)34)both (1) and (2)

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the velocity v of a body moving along a straight line varies with time t as v= 2t²e^-t , where v is in m/s and t in sec. The acceleration of body is 0 at t=
1)0
2)2
3)3
4)both (1) and (2)