PLEASE HELP ME WITH THIS PROBLEM! I AM DESPERATE FOR HELP! I WILL GIVE METALS. The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.

a. Solve the equation for t.
b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.
c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to

Question

PLEASE HELP ME WITH THIS PROBLEM! I AM DESPERATE FOR HELP! I WILL GIVE METALS. The equation  models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released.

a. Solve the equation for t.
b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round your answers to the nearest hundredth.
c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round your answers to

campbell_st · Answer

slight problem.... there is no equation....

anonymous · Answer

I am trying to add that now(: Hold on a minute(:

anonymous · Answer

$$\cos ((\pi/3) t)$$

anonymous · Answer

Can you help(: The t is in the parentheses but it is separate from the pi/3.

campbell_st · Answer

so you need to start by letting 

$$\cos(\frac{\pi}{3} t ) = 0 $$

so its 

$$\frac{\pi}{3}t = \pi/2$$

then$$ t = 3/2$$

but I'm not sure of the domain of your function as another zero will occur at 

$$\frac{\pi}{3} t = \frac{3\pi}{2}$$

or $$t = \frac{9}{2}$$

etc...

campbell_st · Answer

and sorry but I have to go to school now... hope this helps...

anonymous · Answer

Thanks(: This really helps(: