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The figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius $2.5 m$ at a given instant of time. At this instant, find $(i)$ its radial acceleration, $(ii)$ the speed of the particle and $(iii)$ its tangential acceleration.

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Important Questions on Kinematics

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 59

A boat is moving with a velocity

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

with respect to the ground. The water in the river is flowing with a velocity

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

with respect to the ground. The velocity of the boat relative to the water is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 60

A boat is sent (aimed) across (perpendicular) the water flow in a river with a velocity

4 km h^{- 1}

. If the resultant velocity of the boat is

5 km h^{- 1}

, then the velocity of water in the river is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 61

A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station drops an apple aiming at the open hand of his brother sitting vertically below his hands at a distance of about

2 m

. The apple will fall

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 62

A train is standing on a platform and a man inside a compartment of the train drops a stone. At the same instant, the train starts to move with constant acceleration. The path of the particle as seen by the person who drops the stone is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 63

The figure shown below represents the velocity-time graphs of the two particles $P_{1}$ and $P_{2}$ moving along a straight line. The magnitude of their relative velocity

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 64

The distance between two particles is decreasing at a rate of

6 m s^{- 1}

. If these particles travel with same speeds and in the same direction, then the separation increases at the rate of

4 m s^{- 1}

. The particles have speeds as

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 65

In the climax of a movie, the hero jumps from a helicopter, and the villain, chasing the hero, also jumps from the same level. After some time, when they come at the same horizontal level, the villain fires a bullet horizontally towards the hero. Both were falling with a constant acceleration of

2 m s^{- 2}

, because of a parachute. Assuming the hero to be within the range of the bullet, which of the following is correct?

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 1>Q 66

A jogger running at

9 km h^{- 1}

alongside a railway track is

240

metres ahead of the engine of a

120

metre long train running at

45 km h^{- 1}

in the same direction. In how much time will the train pass the jogger?

The figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius 2.5 m at a given instant of time. At this instant, find i its radial acceleration,ii the speed of the particle and iii its tangential acceleration.

Important Questions on Kinematics

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The figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius $2.5 m$ at a given instant of time. At this instant, find $(i)$ its radial acceleration, $(ii)$ the speed of the particle and $(iii)$ its tangential acceleration.