JEE Mains · Physics · STD 11 - 3.2 motion in plane
Two identical bodies, projected with the same speed at two different angles cover the same horizontal range \(R\). If the time of flight of these bodies are \(5\) s and \(10\) s, respectively, then the value of \(R\) is ________ m. (Take \(g=10\) m/s\(^2\))
- A \(250\)
- B \(25\)
- C \(500\)
- D \(125\)
Answer & Solution
Correct Answer
(A) \(250\)
Step-by-step Solution
Detailed explanation
For two projectiles to have the same horizontal range \(R\) with the same initial speed \(u\), their angles of projection must be complementary, i.e., \(\theta\) and \(90^\circ - \theta\). The times of flight for these two angles are given by: \(t_1 = \dfrac{2u \sin \theta}{g}\)…
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