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The displacement of a particle from a point having position vector 2i^+4j^ to another point having position vector 5i^+1j^ is

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Important Questions on Motion in a Plane

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A body moves 6 m north, 8 m east and 10 m vertically upwards, the resultant displacement of body from its initial position is
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A particle has an initial velocity of 3i^+4j^ and an acceleration of 0.4i^+0.3j^. The magnitude of its velocity after 10 s is
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The position vector of an object at any time t is given by 3t2i^+6tj^+k^. Its velocity along y-axis has the magnitude
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A body lying initially at point (3,7) starts moving with a constant acceleration of 4i^. Its position after 3 s is given by the co-ordinates
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The initial position of an object at rest is given by 3i^-8j^. It moves with constant acceleration and reaches to the position 2i^+4j^ after 4 s. What is its acceleration?
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A bus appears to go with a speed of 25 km hr-1 to a car driver, driving at the rate 7 km hr-1 northwards. If the bus actually travels in east direction, its speed is
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A displacement vector of magnitude 4 makes an angle 30° with the x-axis. Its rectangular components in x-y plane are
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At the topmost point of a trajectory, its velocity and acceleration are at an angle of