Two spherical balls having equal masses with radius 5 cm each are thrown upwards along the same vertical direction at an interval of 3 s with the same initial velocity of 35 m s⁻¹, then these balls collide at a height of m. (take g = 10 m s⁻²)

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50. y₁ = 35t - 5t²; y₂ = 35(t - 3) - 5(t - 3)² for t ≥ 3. y₁ = y₂: 35t - 5t² = 35t - 105 - 5t² + 30t - 45 ⇒ 30t = 150 ⇒ t = 5 s. Height = 35×5 - 5×25 = 175 - 125 = 50 m (the 5 cm radii shift this by centimetres only).

Two spherical balls having equal masses with radius 5 cm each are thrown upwards along the same vertical direction at an interval of 3 s with the same initial velocity of 35 m s⁻¹, then these balls collide at a height of ______ m. (take g = 10 m s⁻²)

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