# Need help solving grade 12 trig word problem.

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• Nov 29th 2012, 10:52 PM
Huggakhan
Need help solving grade 12 trig word problem.
A boat tied up at a dock bobs up & down with the passing waves. Vertical distance between its high & low points is 1.8 m. The cycle is repeated every 4 s. At what time or times during a cycle is the instantaneous rate of change of the vertical position of the boat equal to 0 and at what times is it a maximum?
• Nov 30th 2012, 04:11 AM
skeeter
Re: Need help solving grade 12 trig word problem.
Quote:

Originally Posted by Huggakhan
A boat tied up at a dock bobs up & down with the passing waves. Vertical distance between its high & low points is 1.8 m. The cycle is repeated every 4 s. At what time or times during a cycle is the instantaneous rate of change of the vertical position of the boat equal to 0 and at what times is it a maximum?

where in the cycle is the boat changing its direction of motion?

where in the cycle is the boat moving fastest in the vertical direction?

http://www.deepscience.com/images_to...t_tube_shm.gif
• Nov 30th 2012, 07:07 AM
zhandele
Re: Need help solving grade 12 trig word problem.
It'd be a sine wave, wouldn't it? Grade 12 trig, have you had derivatives yet? BTW, skeeter, how did you make that animated widget? That's cool.
• Nov 30th 2012, 01:25 PM
skeeter
Re: Need help solving grade 12 trig word problem.
Quote:

Originally Posted by zhandele
BTW, skeeter, how did you make that animated widget? That's cool.

I didn't make it ... just searched for a SHM animation and found it.