1. ## 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?

2. ## Re: Need help solving grade 12 trig word problem.

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?

3. ## 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.

4. ## Re: Need help solving grade 12 trig word problem.

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.