For a particular habour, the variation of depth of water with time can be modelled by the equation h = 9+5.0 sin (wt)
where h is given in metres, tis the time in seconds and the constant w is 1.45*10^-4. For the harbour, calculate
1. the minimum depth of water
2.the two values of t (t1 and t2), for which the water is 11.5m deep (give answers in hours) NB: calculation for t1 and t2 separate.
3.the length of time for each tide during which the depth of water is more than 11.5m
1. What is the minimum value of sin(x)?
2. Not quite sure what it means by the calculations being seperate, but solve and use the fact that arcsin is multivalued.
3. Will be the difference between t2 and t1.