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14. An automobile of mass m accelerated from rest,when the engine supplies constant power. Velocity(v) of an automobile depend on time (1) as(1) v oc t32(3) 12(2) V c t(4) V α t-1/2

Answer»

Instantaneous power is = force*velocity

dP= ma*v

P=m(dv/dt)*v

Only (P/m)dt= v.dv

Integrating both sides from 0 to t and 0 to v in LHS and RHS respectively

Pt/m= (1/2)v²

v= (2Pt/m)½

so v is proportional to t^1/2option (3)



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