Applications of Horizontal and Vertical Components
A body is pro...
Question
A body is projected with a velocity v at an angle of projection θ with the horizontal. The direction of velocity of the body makes angle 30∘ with the horizontal at t=2s and then after further 1s, it reaches the maximum height. Then (g=10m/s2)
A
v=20√3m/s
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B
θ=60∘
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C
θ=30∘
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D
v=10√3m/s
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Solution
The correct option is Bθ=60∘ Time of ascent =2+1=3sec ⇒vsinθg=3 ⇒vsinθ=30
Now, tanβ=vyvx ⇒tan30∘=vsinθ−gtvcosθ ⇒1√3=30−20vcosθ⇒vcosθ=10√3 ∴v=√v2x+v2y=√(10√3)2+(30)2=20√3m/s
and tanθ=vyvx=√3⇒θ=60∘