when two bodies move towards each other the distnc btween thm diminishes by 16 m in 10 s. If the bodies move in the same dirctn thd distnc btwn them inareases by 3m for 5 s. Find their velocity.
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Expert's answer
2013-02-15T05:51:55-0500
when two bodies move towards each other: V = V1 + V2 (1)
V1, V2 - their velocities V - relative velocity If the bodies move in the same direction: V = V1 -V2 (2)
V = S/t S - distance , t - time (1) V1+V2 = 16/10 (2) V1-V2 = 3/5 (1)+(2): 2V1 = 22/10 = 2.2 V1 = 1.1 m/s (1)-(2): 2V2 = 10/10 = 1 V2 = 0.5 m/s Answer: V1 = 1.1 m/s, V2 = 0.5 m/s
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