Question #24225

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.

Expert's answer

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

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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