A particle is projected horizontally from the top of a building of height 20 m with a speed of 30 m/s. Distance of point where particle lands on ground from its point of projection is
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Explanation:
R = 40 m ; it was projected horizontally
So that horizontal velocity =
t
R
t = time ti free fall a height 20 m
↓
as initial vertical velocity = 0
Given by h=
2
1
9t
2
we have t =
9
2h
t=
10
2×20
= 2sec
& vertical velocity gained in these 2 sec
v
y
=u+9t=0+10×2=20 m/s
Horizontal velocity v
x
=
t
R
=
2
40
=20m/s (constant)
⇒ speed =
v
y
2
+v
x
2
=20
2
m/s
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