A. What is the equation describing the motion of a mass on the end of a spring which is stretched 8.8cm from equilibrium and then released from rest, and whose period is 0.66s? Assume that the displacement at the start of the motion is positive. (express your answer in terms of t using two significant figures.)

B. What will be its displacement after 1.7s? (express your answer to two significant figures and include the appropriate units.)

(a)      

(b)  and after 1.7s the displacement would be

Explanation:

This is periodic motion and the best equation to model this type of motion is sinusoidal equation.

We will chose cos function because it starts at the max or the amplitude.

A = 8.8cm, T = 0.66s in following general form gives the answer.

and substituting t = 1.7s in it gives us 8.456461cm, just little bit lower than initial position.

Explanation:

Humidity: It is the amount of water present in the air.

Relative humidity is the ratio of the actual moisture in the air to the maximum moisture air can hold.

In the given problem,  the relative humidity is 90 percent on a winter day.  This air contains more moisture than air on a summer day with a 40 percent relative humidity.

No, we can not conclude this as it depends on the temperature. Relative humidity depends on the temperature. The warmer air can hold more water vapor than cooler air on a winter day.   It is not possible that there is 90 percent relative humidity on a winter day than the air on a summer day with a 40 percent relative humidity.