an object is thrown with initial speed V metre per second with an angle of projection 30 degree . what is the height and reach reached by the particle ?
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Answer:
Initial speed (U) : 5 m/s
angle of projectile (a) : 30°
max. hight = (U² sin² a )/2g
= (5² sin² 30°)/2 X 9.8
=[25 (1/2)²] /19.6
= (25/4)/19.6
=6.25/19.6
= 0.318 m
range = (U² sin 2a)/g
=[5² sin (2 X 30)]/9.8
=(25 sin 60)/9.8
=[25(√3/2)]/9.8
=[25(1.7/2)]/9.8
=(25 X 0.85/2)9.8
=(21.25/2)9.8
= 10.62/9.8
=1.08 m
hance, 0.318m hight and 1.08m range it will cover.
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