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The position of a particle moving in a straight line along $x$ -axis varies with time $t$ as $x = (12 t - 3 t^{2}) m$ , where $t$ is in seconds. The distance covered by particle in first $5 s$ is

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Important Questions on Motion in a Straight Line

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 7

Two cars are moving towards each other on a straight road with accelerations

5 m s^{- 2}

and

15 m s^{- 2}

. At a certain instant, their separation is

400 m

and their velocities are

10 m s^{- 1}

and

20 m s^{- 1}

. How long will it take for the cars to collide ?

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 8

A ball is projected vertically upwards. If it covers equal distances in

4^{th}

and

7^{th}

second, then velocity of projection is

(g = 10 m s^{- 2})

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 9

A particle moving in a straight line covers the first half of distance with speed of

12 m s^{- 1}

and the other half of the distance in two equal time intervals with speed of

18 m s^{- 1}

and

30 m s^{- 1}

respectively. The average speed of particle during motion is

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 10

A boat goes from point $A$ to $B$ downstream of a river flowing with speed $6 km h^{- 1}$ and then comes back to point $A$ . If time taken in upstream journey is double of that in downstream journey then speed of boat in still water is

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 11

From a height, two balls are thrown with equal speed, one vertically upwards and other vertically downwards. They take time

t_{1}

and

t_{2}

respectively to reach the ground. If a third ball is dropped from same height, then time taken to reach the ground will be

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 12

A particle moves in a straight line such that its acceleration a varies with speed

v

a = - 2 \sqrt{v} m s^{- 2}

, where

v

is measured in

m s^{- 1}

. If initial velocity is

4 m s^{- 1}

, then time taken by the particle to come to stop is

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 13

A ball is dropped from rest at a height

h

from the ground. If it travels a distance of

\frac{9 h}{25}

in its last second of motion, then value of

h

(g = 10 m s^{- 2})

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Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>Assignment>Q 15

A large wooden raft is flowing with a river stream. A man on the raft dives into river and swims down the stream for 15 minutes and then he turns about and comes back to the raft. The swimming speed of man is

5 km h^{- 1}

in still water and the river is flowing with speed

4 km h^{- 1}

. The distance moved by the raft till the man comes back to raft is

The position of a particle moving in a straight line along x-axis varies with time t as x=12t-3t2m, where t is in seconds. The distance covered by particle in first 5 s is

Important Questions on Motion in a Straight Line

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The position of a particle moving in a straight line along $x$ -axis varies with time $t$ as $x = (12 t - 3 t^{2}) m$ , where $t$ is in seconds. The distance covered by particle in first $5 s$ is