Two spherical balls having equal masses with radius of 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 )

Step-by-step solution

S 1 = S 2 35 t + 1 2 ( − g ) t 2 = 35 ( t − 3 ) + 1 2 ( − g ) ( t − 3 ) 2 35 t − 1 2 g t 2 = 35 t − 35 × 3 − 1 2 g t 2 − 6 t + 9 35 × 3 + 45 = 30 t t = 150 30 = 5 height   h = 35 × 5 − 1 2 × 10 × 5 2 h = 175 − 125 = 50   m