The velocity of a particle moving on a circular path is 5 cm/s towards north at any instant. After traversing one-fourth of the path its velocity is 5 cm/s towards east. Indicate the change in velocity in a vector diagram.
Answers
Answer:
Explanation:
This is how you add two vectors A⃗ and B⃗ to find their sum (resultant) C⃗ . I assume you are familiar with parallelogram law of vector addition.
(Diagram 1)
Let us now define a negative vector: A negative vector of a given vector is the vector of same magnitude (length) but of opposite direction.
(Diagram 2)
We further define the subtraction of B⃗ from A⃗ as the sum of −B⃗ and A⃗ .
(Diagram 3)
D⃗ =A⃗ −B⃗ =A⃗ +(−B⃗ )
Now to your question -
(Diagram 4)
Now take your vectors to the origin. Draw −vi→ and then find the resultant Δv⃗.
(Diagram 5)
Δv⃗ =vf→−v1→=vf→+(−v1→)
Or |Δv⃗ |=|vf→|2+|−vi→|2−−−−−−−−−−−−√=|vf→|2+|vi→|2−−−−−−−−−−√
To find the direction of Δv⃗ , proceed as follows.
tanθ=|−vi→||vf|→=|vi→||vf|→
I suppose you can do the rest.
I am sorry that i can't get the diagram 1......