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Standard IX
Physics
Second Law of Motion
ntn ntQ. An o...
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ntn ntQ. An object is projected from ground with speed u at angle with horizontal. The radius of curvature of its trajectory at maximum height from the ground isn nt1) u2 sin2/gn nt2) u2 cos2/gn nt3) u2 sin2 /gn nt4) u2 sin2 /2gn
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Q.
Assertion :Maximum possible height attained by a projectile is
u
2
2
g
, where u is initial velocity Reason: To attain maximum height, a particle is thrown vertically upwards at
θ
=
90
o
to the ground.
H
=
u
2
2
g
s
i
n
2
θ
⇒
H
m
a
x
=
u
2
2
g
Q.
When a body is projected with velocity
→
u
horizontally from a height
h
.
Column-I
Column-II
(a)
The speed of body at any time
t
is
(p)
√
2
g
h
u
2
(b)
It will strike the ground after time
t
equal to
(q)
√
2
h
g
(c)
The path followed by the body is expressed as
y
equal to
(r)
−
1
2
g
x
2
u
2
(d)
The tangent of the angle
θ
made by velocity vector striking the ground with horizontal is equal to
(s)
√
u
2
+
g
2
t
2
Q.
When a body is projected with velocity
→
v
,
horizontally from a height
h
.
Column-I
Column-II
(a) The speed of body at any time
t
is
(p)
√
2
g
h
u
2
(b) It will strike the ground after time
t
is equal to
(q)
√
2
h
g
(c) The path followed by the body is expressed as
y
equal to
(r)
1
2
g
x
2
u
2
(d) The value of
tan
θ
, where
θ
is the angle made by velocity striking the ground with horizontal is equal to
(s)
√
v
2
+
g
2
t
2
Q.
An object is projected with speed
50
m/s
at an angle
53
∘
with horizontal from ground. The radius of curvature of its trajectory at
t
=
1
sec
after projection will be:
(
Take
g
=
10
m/s
2
)
Q.
The velocity at the maximum height of a projectile is
√
3
2
times its initial velocity of projection
(
u
)
. Its range on the horizontal plane is
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