Question

Assuming the waves travel in straight lines, how far away is the center of the earthquake?

Answer 1

Waves becoming straight is a limit problem of amplitude tending to 0 and/or the velocity of propagation (

2

π

p

e

r

i

o

d

) becoming 0, in the limit.

Explanation:

Waves become straight when amplitude tends to 0 and/or the

velocity of propagation (

2

π

p

e

r

i

o

d

) becoming 0, in the limit.

When the velocity of propagation

→

0, the period

→

∞

and the

frequency

→

0.

So, in my opinion, the results for this virtual limit problem are results

for your problem.

The model is

x

=

h

sin

(

k

t

+

α

)

, where h and/or k

→

0.

Answer 2

Waves becoming straight is a limit problem of amplitude tending to 0 and/or the velocity of propagation (

2

π

p

e

r

i

o

d

) becoming 0, in the limit.