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AP EAMCET · PHYSICS · Motion In Two Dimensions

A body projected with some velocity at an angle \(45^{\circ}\) with the horizontal from the origin in \(X Y\)-plane passes through a point at \((4,3) \mathrm{m}\). Its horizontal range is

  1. A 10 m
  2. B 14 m
  3. C 18 m
  4. D 16 m
Verified Solution

Answer & Solution

Correct Answer

(D) 16 m

Step-by-step Solution

Detailed explanation

Equation of trajectory of projectile is \( y=x \tan \theta-\frac{g x^2}{2 u^2 \cos ^2 \theta} \) Here, \(\theta=45^{\circ}\) \(\Rightarrow \quad y=x-\frac{g x^2}{u^2}\)...(i)…
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