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Show that the speed reached by a car of mass that is driven by a constant power is given by.

Show that the speed reached by a car of mass  that is driven by a constant power  is given by.
 

Grade:10

1 Answers

Arun
25750 Points
4 years ago
 
P=F.v
m(dv/dt)v=P
m(dv/ds)(ds/dt)v=P
m(dv/ds)v2=P
mv2dv=Pds
integrate by putting limits v=0 to v and s=0 to s=x
we get 
v=(3xP/m)1/3
 

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