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Five persons A, B, C, D & E are pulling ...

Five persons A, B, C, D & E are pulling a cart of mass 100kg on a smooth surface and cart is moving with acceleration `3m//s^2` in east direction. When person A' stops pulling, it moves with acceleration `1m//s^2`in the west direction. When person 'B' stops pulling, it moves with accele-ration `24m//s^2` in the north direction. The magnitude of acceleration of the cart when only A & B pull the cart keeping their directions same as the old direction is

A

`26 m//s^(2)`

B

`3sqrt(71) m//s^(2)`

C

`25 m//s^(2)`

D

`30 m//s^(2)`

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The correct Answer is:
C
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Five persons A, B, C, D & E are pulling a cart of mass 100kg on a smooth surface and cart is moving with acceleration 3 m//s^(2) in east direction. When person 'A' stops pulling, it moves with acceleration Im/s in the west direction. When person 'B' stops pulling, it moves with acceleration 24m//s^(-2) in the north direction. The magnitude of acceleration of the cart when only A & B pull the cart keeping their directions same as the old direction is