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Three particles start moving from the origin at the same time. Particle 1goes in x-direction with velocity v1 and 2nd in y-direction with v2. Particle 3 goes along line y=x and velocity v3. Show if all three particles remain on same straight line in subsequent motion then v3=√2*v2v1/(v2+v1)

Three particles start moving from the origin at the same time. Particle 1goes in x-direction with velocity v1 and 2nd in y-direction with v2. Particle 3 goes along line y=x and velocity v3. Show if all three particles remain on same straight line in subsequent motion then v3=√2*v2v1/(v2+v1)

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Grade:11

1 Answers

Vikas TU
14149 Points
4 years ago
Find the distance at any time taken as cinstant suppose take t = 1 s
and then we can caluclate velocity later on.
.
For x – axis,
x = V1
For y-axis
y = V2
for y=x,
x0 = V3cos45 and y0 = V3sin45
Now U have two points.
(x,y) and (x0 , y0)
Find the eqn. of line using this and find the intersection point with y=x. 

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