Ram was riding in a car travelling at a speed of 20ms−1 toward east. Shyam was standing on the sideway when the car passed him. Just before the car passed close to Shyam (when it was north-west of him); Ram had thrown a banana peel with velocity 10ms−1 relative to him as vBanana,Ram=(−10)^i+(−10)^j. The banana peel had velocity components 10ms−1 toward south and 10ms−1 towards west in Ram's reference frame. When Ram met Shyam later, Shyam accused that Ram had thrown the banana peel at him. Explain this with the help of a velocity diagram.
The banana peel was thrown from a point in south-west direction relative to car (reference frame of Ram). Shyam is on the ground; the velocity of banana peel relative to him can be considered to be the absolute velocity of banana peel.
→vBanana/Ram=→vBanana−→vRam
⇒→vBanana=→vBanana/Ram+→vRam
=(−10)^i+(−10)^j+(20)^i=(10)^i−(10)^j
i.e., the absolute velocity of banana peel is directed toward south-east, or toward Shyam as shown in Figure.