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An object is projected with a velocity of 100 ms\(^{-1}\) from the ground level at...

Physics
WAEC 1993

An object is projected with a velocity of 100 ms\(^{-1}\) from the ground level at an angle \(\theta\) to the vertical. If the total time of flight of the projectile is 10 s, calculate θ. (g = 10 ms\(^{-2}\)).

  • A. 0o
  • B. 30o
  • C. 45o
  • D. 60o
  • E. 90o
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Correct Answer: Option D
Explanation

T = \(\frac{2u sin θ}{g}\)


sin θ = \(\frac{Tg}{2u}\)

sin θ = \(\frac{10 \times 10}{2 \times 100}\) = 0.5
θ = sin\(^{- 0.5}\) = 30º

\(\theta\)\(_{horizontal}\) = 30º

But \(\theta\)\(_{vertical}\) = 90º - 30º = 60º

 


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