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A shooter wants to fire a bullet in such a way that its horizontal range...

Physics
JAMB 2006

A shooter wants to fire a bullet in such a way that its horizontal range is equal to three times its maximum height. At the what angle should he fire the bullet to achieve this?
  • A. 68o
  • B. 53o
  • C. 30o
  • D. 45o
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Correct Answer: Option B
Explanation
Horizontal range = 3 x maxi. height
=> (U2Sin2θ) / g = (3 x U2sin2θ) / 2g
∴sin2θ = 3sin2θ
2

=> 2sinθcosθ = 3sin2θ
2

∴ 4sinθcosθ = 3sin2θ
=> 4cosθ = 3sinθ
sinθ/cosθ = 4/3; => tanθ = 4/3 = 1.3333
θ = tan-1 (1.3333)
= 53o

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts