Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 11

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The displacement of a particle from a point having position vector $2 \hat{i} + 4 \hat{j}$ to another point having position vector $5 \hat{i} + 1 \hat{j}$ is

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Important Questions on Motion in a Plane

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 13

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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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 14

A particle has an initial velocity of

3 \hat{i} + 4 \hat{j}

and an acceleration of

0.4 \hat{i} + 0.3 \hat{j}

. The magnitude of its velocity after

10 s

is

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 15

The position vector of an object at any time

t

is given by

3 t^{2} \hat{i} + 6 t \hat{j} + \hat{k}

. Its velocity along

y -

axis has the magnitude

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 16

A body lying initially at point

(3, 7)

starts moving with a constant acceleration of

4 \hat{i}

. Its position after

3 s

is given by the co-ordinates

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 17

The initial position of an object at rest is given by

3 \hat{i} - 8 \hat{j}

. It moves with constant acceleration and reaches to the position

2 \hat{i} + 4 \hat{j}

after

4 s

. What is its acceleration?

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 19

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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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 20

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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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>EXERCISE>Q 21

At the topmost point of a trajectory, its velocity and acceleration are at an angle of