Antelope Ambulance

3. A cheetah can run at 105 feet per second, but only for 7 seconds, when the
animal must stop and rest. A cheetah rested (0, 0) Notice near an antelope, which
moves according to the parametric equation (x, y) = (-39 + 40t, 30t 228 +), where t is
measured in seconds and x and y are measured in feet. If it began to run at time t = 0,
cheetah could take the antelope. How many seconds can afford to cheetah
wait before starting? Suppose that the leopard does not change direction when it turns.

11. Alden, a passenger on a yacht moored 15 miles north of a line due east-west
coast, became ill and must be taken ashore in a small motorboat, which will meet
an ambulance to a point on the shore. The ambulance will then Alden to
hospital, which is 60 miles east of the nearest point on the shore of the yacht. The engine can
Travel to 20 km / h and ambulance to 90 mph. In which direction the boat should
head to minimize travel time to hospital? Express your answer using an angle.


5. While the Wood's Hole ferry Martha's Vineyard steamed along 8 mph for
the sea is calm, the passengers Dale exercised by walking the perimeter of the rectangular platform at
a constant 4 mph. Discuss changes in the actual speed of Dale, on the water.

9. Let A = (1, 2), B = (8, 2), and C = (7, 10). Find an equation of the line that divides
Angle BAC.

13. For a walk in Chicago, Morgan measures the angle of elevation to the distant Sears
Tower, and gets 3.6 degrees. After walking one km directly to the building, Morgan
notes that the elevation angle increased to 4.2 degrees. Use this information to
estimate the height of the Sears Tower, and to what extent it is now Morgan.


If you could show me how to start and do not give me the answers I want to know how to do.

Thank you in advance.

5. When walking towards the bow, its speed is (8 + 4) mph or 12 mph
When walking backwards, speed is (8-4) mph, or 4 mph
When sailing from port to starboard, and vice versa, its velocity is (8 + 0) mph or 8 mph