# ship

## 1011 Time of launching a ship | Rectilinear Translation

## 49-51 Ship sailing east and turned N 30d E

**Problem 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.

## 46-48 Rate of rotation of the searchlight

**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.

## 38 - Rate of rotation of search light pointing to a 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.

## 37-38 How fast a ship leaving from its starting point

**Problem 37**

A ship sails east 20 miles and then turns N 30° W. If the ship's speed is 10 mi/hr, find how fast it will be leaving the starting point 6 hr after the start.

## 43 - 45 Solved problems in maxima and minima

**Problem 43**

A ship lies 6 miles from shore, and opposite a point 10 miles farther along the shore another ship lies 18 miles offshore. A boat from the first ship is to land a passenger and then proceed to the other ship. What is the least distance the boat can travel?