6. an earthquake releases two types of traveling seismic waves, called transverse and longitudinal waves. the average speed of the transverse and longitudinal waves in rock are 9.1 km/s and 5.7 km/s respectively. a seismograph records the arrival of the transverse waves 71 s before that of the longitudinal waves. assuming the waves travel in straight lines, how far away is the center of the earthquake?

The distance away the center of the earthquake is 1083.24 km.

Explanation:

Given that,

Speed of transverse wave = 9.1\ km/s

Speed of longitudinal wave = 5.7 km/s

Time = 71 sec

We need to calculate the distance of transverse wave

Using formula of distance

....(I)

The distance of longitudinal wave

....(II)

From the first equation

Put the value of t in equation (II)

Hence, The distance away the center of the earthquake is 1083.24 km.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.