A body is projected from the top of a tower of height of 32m with a velocity of 20m/s at an angle of 37∘ below the horizontal. The time of flight of the projectile is
(Take g=10m/s2)
A
2s
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B
0.8s
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C
1.6s
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D
4s
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Solution
The correct option is C1.6s Time of flight only depends on the vertical component of velocity.
Initial vertical velocity uy=−20sin37∘=−20×35=−12m/s
(taking upward direction as positive)
Displacement of the body when it reaches the ground h=−32m
Using second equation of motion, h=uyt−12gt2⇒−32=−12t−5t2=0⇒5t2+20t−8t−32=0⇒5t(t+4)−8(t+4)=0⇒t=85=1.6s
(taking positive value of time)