A hanging block oscillating on the end of a spring passes through equilibrium at a speed of 2.0 m/s. It returns to equilibrium 0.75 s later. Calculate the total distance that it traveled between these two moments in its vibration. (Hint: How is the time related to the period? How is the distance traveled related to the amplitude?)

1.5

Explanation:

From the question ,

velocity v= 2.0m/s

Time t = 0.75secs

Distance =?

Velocity = distance/ time

2.0 = d/0.75

Crossmultipy

d = 2.0 x 0.75

= 1.5m

28. evolution

29. environment, survive, offspring  

explanation:

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.