HARD
11th ICSE
IMPORTANT
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If a unit vector is represented by 0.5i^+0.8j^+ck^ then the value of c is:

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Important Questions on Vectors

HARD
11th ICSE
IMPORTANT

In the arrangement shown in the figure below, the ends P and Q of the unstretchable string, move downward with a uniform speed u. Pulleys A and B are fixed. The mass M moves upward with a speed:

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MEDIUM
11th ICSE
IMPORTANT
A particle is moving towards east with a velocity of 5 m s-1. In 10 seconds the velocity changes to 5 m s-1 towards north. Average acceleration in this time is:
HARD
11th ICSE
IMPORTANT
Select the correct alternative. The coordinates of a particle moving in a plane are given by x=a cospt and y=b sinpt, where a, b and p are positive constants of appropriate dimensions. Then:
HARD
11th ICSE
IMPORTANT
The coordinates of a particle at time t are x=2t+4t2, where x and y are in metre and t is in second. The acceleration of the particle at t=5 s is :
HARD
11th ICSE
IMPORTANT
A person aiming to reach just opposite point on bank of stream swims at speed of 0.5 m/s at angle 120° with direction of flow of water. The speed of water in stream is _____.
HARD
11th ICSE
IMPORTANT
A river is flowing from west to east at speed of 5 m/minute. A man who can swim at rate of 10 m/minute in still water is standing on south bank of river. He wants to swim across river in the shortest time. He should swim in a direction:
HARD
11th ICSE
IMPORTANT
A boat which has speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible in 15 minutes. The velocity of river water in km/h is