A particle is projected from the ground with an initial speed of 15 m/ s at an angle of 60 with horizontal.The average velocity of the particle between its point of projection and hightest point of trajectory is
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Height of projectile at its highest point is h=
2g
u
2
sin
2
θ
.
Horizontal distance covered till this point is x=
2
R
=
2g
u
2
sin2θ
=
g
u
2
sinθcosθ
.
Time taken to reach highest point is t=
2
T
=
g
usinθ
Hence, displacement is d=
h
2
+x
2
=
2g
u
2
sinθ
(
1+3cos
2
θ
).
Average velocity v=
t
d
=
2
u
1+3cos
2
θ
.
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