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three particles start moving from the origin at the same time. Particle 1goes in x-direction with velocity 2m/s and 2nd in negative y-direction with 6m/s. find the velocity of the third particle along x= y line so that the three particles may always lie in a straight line

three particles start moving from the origin at the same time. Particle 1goes in x-direction with velocity 2m/s and 2nd in negative y-direction with 6m/s. find the velocity of the third particle along x= y line so that the three particles may always lie in a straight line

Grade:11

1 Answers

Arun
25750 Points
6 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.
 
You will get V3√2*v2v1/(v2+v1)
hence V3 = 1.414* 6* 2/ (6+2)
= 16.968/8 
= 2.121 m/sec

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