please explain how answer is 20√2 and how in S-W direction
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see the diagram.
The truck travels from A to B and then towards C from B at the same speed.
Looking at the vector diagram, We have vector v (initial velocity) from O upwards. Then the final velocity (magnitude v) towards west (left). We need to find the change = the difference of final - initial.
So draw vector (in red color) equal to - initial vector.
Now add the two vectors v towards west and -v southwards. Since the magnitudes are equal, we gt the direction at 45 deg. South West.
magnitude = √(20² + 20²) = 20√2 m/s as the perpendicular vectors can be added using the Pythagoras theorem to get magnitude of the resultant.
The truck travels from A to B and then towards C from B at the same speed.
Looking at the vector diagram, We have vector v (initial velocity) from O upwards. Then the final velocity (magnitude v) towards west (left). We need to find the change = the difference of final - initial.
So draw vector (in red color) equal to - initial vector.
Now add the two vectors v towards west and -v southwards. Since the magnitudes are equal, we gt the direction at 45 deg. South West.
magnitude = √(20² + 20²) = 20√2 m/s as the perpendicular vectors can be added using the Pythagoras theorem to get magnitude of the resultant.
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kvnmurty:
click on red heart thanks above pls
clicked on red heart
is that clear ? hope so
hey there is another way to solve this question
hey why South and west direction you choose??
oh !! Why you deleted his answer
Oye !!! Here someone need reply
@sahillincon: for obtaining the change in velocity = final velocity - initial velocity.... So take opposite of initial velocity... add that to the final velocity using parallelogram law... This is easy...
@sahillincon... there is another way ... triangular addition of vectors... if you can do that well, please follow that.... i drew this diagram so that you could understand...
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u can solve it in just one step by using vector .
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welcome....
:-)
dear I made a solid mistake here..... delete it
it says there is change in velocity means final velocity-initial velocity
final is -20i and initial is 20j
so it will be -20i-20j
√20²+20²
20√2m/s
and since vector is in 3rd quadrant direction will be S-W
please apologies me dear
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