A projectile is projected from the ground by making an angle of 60 ° with the horizontal. After 1 s projectile makes an angle of 30 ° with the horizontal. The maximum height attained by the projectile is (Take g = 10 m s - 2 )

Question

A projectile is projected from the ground by making an angle of 60 ° with the horizontal. After 1 s projectile makes an angle of 30 ° with the horizontal. The maximum height attained by the projectile is (Take g = 10 m s - 2 ), 45 2 m, 45 4 m, 43 2 m, 43 4 m

MARKS App · Accepted Answer

tan 30° = v 0 sin 60 ° - gt v 0 cos 60 ° ⇒ 1 3 = v 0 3 2 - g × t V 0 2 ⇒ v 0 2 = 3v 0 2 - gt 3 ⇒ v 0 = gt 3 = g 3 . ∴ H max = v 0 2 sin 2 θ 2g = 300 × 3/4 20 = 45 4 m

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