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A projectile is projected with an initial velocity u, at an angle θ to the...

Physics
NECO 2005

A projectile is projected with an initial velocity u, at an angle θ to the horizontal. The maximum height attained is.

  • A. U2 sin \(\frac{\theta}{g}\)
  • B. 2U2 sin2 \(\frac{\theta}{g}\)
  • C. U sin2 \(\frac{\theta}{g}\)
  • D. U2 sin2\(\frac{\theta}{2g}\)
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Correct Answer: Option D
Explanation

Using V\(^2\) = (Uy)\(^2\) - 2gH

But Uy = usinθ

At max. Height, V = 0

0 = (Uy)\(^2\) - 2gH

- (Uy)\(^2\) = - 2gH

H = \(\frac{u^2(sin)^2θ}{2g}\)


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