The content is just an excerpt from the complete note for SS1 Second Term Further Mathematics Lesson Note – Relative Velocity. Check below to download the complete DOCUMENT
WEEK 6
TOPIC: RELATIVE VELOCITY
CONTENT:
- Displacement/Relative displacement
- Acceleration
- Relative velocity
- Motion of word problem
SUB – TOPIC: Relative velocity
Every object or occurrence (be it real or abstract) is relative to some other object, occurrence. If a ship has a speed of 10m/s in still water, then we are referring to its speed relative to earth.
Note the following points when solving relative velocity problems:
- Identify the parameters in the problem i.e. relative velocity, magnitude, direction.
- Draw the displacement diagram.
- Write the relative velocity equation, making use of the Domino rule; e.g. AVB =AVE+EVBe. the velocity of A relative to B is equal to the velocity of A relative to the earth plus velocity of earth relative to B. This rule can be extended to any number of terms.
Example 1: Ship A is sailing due East at 12m/s and ship B is sailing due North at 16m/s. Find the velocity of ship B relative to ship A.
Solution:
Magnitude Direction
AVE 12m/s – East
BVE 16m/s – North
Since BVE = BVA + AVE and we seek BVA, then BVA = BVE – AVE
To gain full access to the note: DOWNLOAD FILE