A body is projected with the velocity of 60 m/s at an angle of 30°
with the horizontal. Calculate :
(i) Maximum height
( ii ) Time of fight
(iii) Horizontal range of projectile. (assume g =10m/s2 ).
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Answer:
Maximum height attained by projectile is increased by10%.
Let h be the maximum height attained by the projectile. Then
h=
2g
u
2
sin
2
θ
R=
g
u
2
sin2θ
∴
h
R
=
g
u
2
sin2θ
=/
2g
u
2
sin
2
θ
=
(sin
2
θ)/2
2sinθcosθ
=4cotθ
Therefore,
R
ΔR
=
h
Δh
Hence, percentage increase in R
percentage increase in height h=5%
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