6. Which one of the following statements is true for the speed v and the acceleration of a particle executing simple harmonic motion? * 2 points
When c is maximum, a is maximum
Value of a is zero, whatever may be the vale of v
When v is zero, a is zero
When v is maximum, a is zero

18 miles east; 24 mph east

Explanation:

In order to find how far east of Wilmington is the ship after 1 hour, we just need to substitute t = 1 into the formula of the position.

The equation of the position is

where t is the time. Substituting t = 1,

So, the ship is 18 miles east of Wilmington.

To find the velocity of the boat, we just need to calculate the derivative of the position, so

And by substituting t = 1, we find the velocity after 1 hour:

And the direction is east.