a particle has been projected from origin with a speed of 20m/s at an angle 60 with horizontal.the horizontal direction as y.the x coprdinate of the particle when its velocity vector becomes perpendicular to the initial velocity vector is
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11th
Physics
Motion in a Plane
Projectile Motion
A ball is projected with a ...
PHYSICS
A ball is projected with a velocity 20
3
m/s at angle 60
o
to the horizontal. The time interval after which the velocity vector will make an angle 30
o
to the horizontal is (in seconds)
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ANSWER
Given : u=20
3
m/s θ=60
o
Horizontal component of velocity initially u
x
=u cos60=20
3
×
2
1
=10
3
m/s
Since, there is no acceleration in horizontal direction. So horizontal component of velocity remains the same all the time.
Final horizontal component of velocity v
x
=u
x
=10
3
m/s
Final velocity makes an angle 30
o
with horizontal.
So, vertical component of final velocity v
y
=u
x
tan30=10
3
×
3
1
=10
Initial vertical comonent of velocity u
y
=usin60=20
3
×
2
3
=30 m/s
Using v
y
=u
y
−gt
∴ 10=30−10t
⟹ t=2 s
Answer:
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