Abuoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. its displacement d from sea level at time t=0 seconds is 0 in, and initially it moves downward. (note that downward is the negative direction.) give the equation modeling the displacement d as a function of time t. d= ク

The equation of the displacement as a function of time is :

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple or terms.

Thus,

is the general form of displacement of a SHM.

where,

given,

∴

=

∴

the equation :

⇒                        ------1

since when ,

⇒                         ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , must be negative or c must be an odd multiple of .

⇒         ------3

where k is also an integer ;

the least value of ;

thus ,

the equation is :

step-by-step explanation: