A player kicks a football at an angle of 37o with the horizontal and with an initial speed of 12 m/s. Calculate football's time of flight.
a. 14 s
b. 7.2 s
c. 1.5 s
d. 0.74 s
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Answer:
Angle of projection θ=30
0
initial velocity, μ=15 m/sec
a) Maximum height =
2g
μ
2
sin
2
θ
=
2×9.8
(15)
2
×sin
2
30
0
=2.869 m
b) Time of flight for projectile =
g
2μsinθ
=
9.8
2×15×sin30
0
=1.53 sec
c) Range =
g
μ
2
sin2θ
=
9.8
(15)
2
×sin60
0
=
9.8
225
×
2
3
=19.74 m
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