MATHalinoEngineering MathematicsProblem 49
A ship, moving 10 mi/hr, sails east for 2 hours, then turns N 30° E. A searchlight, placed at the starting point, follows the ship. Find how fast the light is rotating (a) 4 hours after the start; (b) just after the turn.
Problem 51
Show that the answers to Problem 49 are independent of the speed of the ship.
Problem 46
A ship, moving at 8 mi/hr, sails east for 2 hr, then turns N 30° W. A searchlight, placed at the starting point, follows the ship. Find how fast the light is rotating, (a) 3 hr after the start; (b) just after the turn.
Problem 47
In Problem 46, find when the light rotates most rapidly.
Problem 48
Prove that the result in Problem 46 and Problem 47 are independent of the speed of the ship.
Problem 38
A ship, moving 8 mi/hr, sails north for 30 min, then turns east. If a searchlight at the point of departure follows the ship, how fast is the light rotating 2 hr after the start.