A fisherman sees 7 wave crests
go by in 10.0 s. The crests are
2.43 m apart. Find the velocity
of the wave.
(Unit = m/s)

Velocity of the wave is 1.7 m/s

Explanation:

As we know that the frequency of the wave is defined as the number of waves crossing a fixed point per second

So here we will have

Also we know that the distance between two consecutive crest or two consecutive trough is known as wavelength

So here the wavelength of the wave is given as

now we have

e

explanation:

there is no change in the electric potential energy as it is in rest on both conditions.

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.