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The small marble is projected with a velocity of $10 m s^{- 1}$ in a direction $45 °$ from the horizontal $y$ -direction on the smooth inclined plane. Calculate the magnitude $v$ of its velocity after $2 s$ .

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Important Questions on Motion in a Plane

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JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 36

Three ships

A, B & C

are in motion. The motion of

A

as seen by

B

is with speed

v

towards north - east. The motion of

B

as seen by

C

is with speed

v

towards the north - west. Then as seen by

A, C

will be moving towards

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 37

Men are running in a line along a road with velocity

9 km {hr}^{- 1}

behind one another at equal distances of

20 m .

Cyclists are also riding along the same line in the same direction at

18 km {hr}^{- 1}

at equal intervals of

30 m .

The speed with which an observer must travel along the road in opposite direction of so that whenever he meets a runner he also meets a cyclist is

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 38

A man holding a flag is running in North-East direction with speed

10 m s^{- 1} .

Wind is blowing in east direction with speed

5 \sqrt{2} m s^{- 1} .

Find the direction in which flag will flutter.

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 42

A train

1

moves from east to west (clockwise) and another train

2

moves from west to east (anticlockwise) on the equator with equal speeds relative to ground. The ratio of their centripetal acceleration

\frac{a_{1}}{a_{2}}

relative to centre of earth is

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 43

What is the maximum magnitude of change in velocity of a motorcycle moving with a uniform speed

v_{0}

in a circular path of length

I = \frac{π}{3} R

and radius

R ?

Treat motorcycle as a particle.

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 44

A particle is performing circular motion in a circle of radius

R

in such a way that at every moment magnitude of its tangential and radial acceleration is equal. If initial velocity of particle is

v_{0}

then time period of

1^{st}

revolution is

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 45

A boy standing in a trolley car projects a stone perpendicular to the trolley car with a speed

v .

If the trolley car moves with a constant velocity

u,

the time of flight of the stone is

\frac{nv}{g} .

The value of

n

is _____.

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Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 46

Rain is falling vertically with a speed of

4 m s^{- 1} .

After some time, wind starts blowing with a speed of

3 m s^{- 1}

in the north to south direction. In order to protect himself from rain, a man standing on the ground should hold his umbrella at an angle

θ

given by

θ = \tan^{- 1} (\frac{m}{n})

with vertical towards north. If

m, n

are coprime then value of

m n

is _____.

The small marble is projected with a velocity of 10 m s-1 in a direction 45° from the horizontal y-direction on the smooth inclined plane. Calculate the magnitude v of its velocity after 2 s.

Important Questions on Motion in a Plane

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The small marble is projected with a velocity of $10 m s^{- 1}$ in a direction $45 °$ from the horizontal $y$ -direction on the smooth inclined plane. Calculate the magnitude $v$ of its velocity after $2 s$ .