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← JEE Main 2022 · 30 Jul · Shift 2
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JEE Main 2022 · 30 Jul · Shift 2, Physics question 30

Two projectiles are thrown towards each other at 15° and 45° angles respectively with the horizontal at the same speed. The difference between the horizontal distances traveled by the two projectiles is 80 m. The initial speed of the projectiles is _______ m s−1^{-1} [Given g = 10 m s−2^{-2}]

Answer and worked solution

Official answer: 40

Ranges u2sin⁡30°g=u220\frac{u^2\sin30°}g=\frac{u^2}{20} and u210\frac{u^2}{10}. Difference u220=80\frac{u^2}{20}=80, so u=40u=40 m/s.

Answer: 40