More review of transformations & trig applications.

1. This equation gives the depth of the water, h meters, at an ocean port at any
time, t hours, during a certain day.
(a) Explain the significance of each number in the equation:
(i) 2.5 (ii) 12.4 (iii) 1.5 (iv) 4.3
(b) What is the minimum depth of the water? When does it occur?
(c) Determine the depth of the water at 9:30 am.
(d) Determine one time when the water is 4.0 meters deep.

2. This equation gives the depth of the water, h meters, at an ocean port at any
time, t hours, during a certain day. t=0 at midnight the day before.
(a) Explain the significance of each number in the equation:
(i) 2.5 (ii) 12.4 (iii) 1.5 (iv) 4.3
(b) What is the minimum depth of the water? When does it occur?
(c) Determine the depth of the water at 9:30 am.
(d) Determine one time when the water is 4.0 meters deep.

4. This equation gives the depth of the water, h meters, at an ocean port at any
time, t hours, during a certain day.
(c) Determine the depth of the water at 9:30 am.
(d) Determine one time when the water is 4.0 meters deep.

6. This equation gives the depth of the water, h meters, at an ocean port at any
time, t hours, during a certain day.
(d) Determine one time when the water is 4.0 meters deep.

8. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds.
Passengers get on at point S, which is 1 m above ground level. Suppose you
get on at S and the wheel starts to rotate.
(a) Graph how your height above the ground varies during the first two
cycles.
(b) Write an equation that expresses your height as a function of the
elapsed time.

9. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds.
Passengers get on at point S, which is 1 m above ground level. Suppose you
get on at S and the wheel starts to rotate.
(c) Determine your height above the ground after 45 seconds.

11. A Ferris whell has a radius of 20 m. It rotates once every 40 seceonds.
Passengers get on at point S, which is 1 m above ground level. Suppose you
get on at S and the wheel starts to rotate.
(d) Determine one time when your height is 35 m above the ground.