Understanding Engineering Mathematics

(やまだぃちぅ) #1

B.


y

− 3 − 2 − 1 0 1 2 3 4 x

15

25

20

10

5

− 5

− 10

y = 2 x^2 − 3 x − 2
> 0 for
x > 2 and x < −^12

3.3.3 Formulae


(i) Ohm’s law;V=voltage,I=current,R=resistance.Vis a linear function ofR–in
fact it is proportional toR.

R=

V
I

(ii) Electrical powerP, resistanceR, currentI.Pis proportional toR.

R=

P
I^2

(iii) Kinetic EnergyE,m=mass,v=velocity.Eis a quadratic function ofv.


v=±


2 E
m

(iv) Distance – time function;s=distance,t=time,u=initial velocity,a=acceleration.
sis a quadratic function oft.


t=

−u±


u^2 + 2 as
a

(v) Einstein’s mass – energy formula;E=energy,m=mass,c=speed of light (posi-
tive!).Eis proportional toc^2.

c=


E
m
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