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A particle moving along positive x-axis with a speed of 5m/s suddenly changes its direction along the positive y-axis with the same speed.The change in velocity of the particle is what? (In these type of qstns i am unable to determine the resultant direction of the particle.Can u suggest a simple way of determining it.)

A particle moving along positive x-axis with a speed of 5m/s suddenly changes its direction along the positive y-axis with the same speed.The change in velocity of the particle is what?        (In these type of qstns i am unable to determine the resultant direction of the particle.Can u suggest a simple way of determining it.)

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Chandan das

here you should see what is initial and final velocity.

initial velocity = 5i

final velcity  = 5j

 

so change in velocity = (final -inital)

                               =5j-5i

   and for magitude = |5j-5i|

                             =5√2

resultant direction is changes with respect to time.

 suppose for t1 sec it moves in x direction and then for t2 sec it moves in the y direction so

x=5t1

y=5t2

so resultant direction = tanΘ=y/x = 5t2/5t1

                                                =t2/t1

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