Asked by Rebecca
When an automobile accelerates, the power, P, needed to overcome air resistance varies directly with a power of the speed, v
P=kv^n
Use data to find the scalling exponent and the constant of variation
v 10 20 30 40
p 355 2840 9585 22,720
P=kv^n
Use data to find the scalling exponent and the constant of variation
v 10 20 30 40
p 355 2840 9585 22,720
Answers
Answered by
bobpursley
355=k (10^n)
22720=k(40^n)=k*4^n*(10^n)
divide second equation by first.
22720/355=4^n solve for n.
take log of each side
log22720-log355= n log 4
now, knowing n, solve for k in the first equation.
22720=k(40^n)=k*4^n*(10^n)
divide second equation by first.
22720/355=4^n solve for n.
take log of each side
log22720-log355= n log 4
now, knowing n, solve for k in the first equation.
Answered by
Rebecca
Thank you