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A boat that can move with a speed of $5 m s^{- 1}$ relative to the water crosses a river of width $480 m$ flowing with a constant speed of $4 m s^{- 1}$ . What is the time taken by the boat to cross the river along the shortest path?

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Important Questions on Kinematics

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 121

An airplane pilot sets a compass course due west and maintains an airspeed of

240 km h^{- 1}

. After flying for

\frac{1}{2} h

, he finds himself over a town that is

150 km

west and

40 km

south of his starting point. The wind velocity (with respect to ground) is

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 122

It is raining vertically downwards with a velocity of

3 km h^{- 1}

. A man walks in the rain with a velocity of

4 km h^{- 1}

. The raindrops will fall on the man with a relative velocity of

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 123

A man walks in rain with a velocity of

5 km h^{- 1}

. The raindrops strike at him at an angle of

45 °

with the horizontal. What is the velocity of the rain if it is falling vertically downward?

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 124

Raindrops are falling vertically with a velocity of

10 m s^{- 1}

. To a cyclist moving on a straight road the raindrops appear to be coming with a velocity of

20 m s^{- 1}

. The velocity of cyclists is

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 125

An airplane has to go along a straight line from $A$ to $B$ , and back again. The relative speed of the airplane with respect to the wind is $V$ . The wind blows perpendicular to the line $A B$ with speed $v$ . The distance between $A$ and $B$ is $ℓ$ . The total time for the round trip is

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 126

For two particles

A

and

B

, it is given that,

{\vec{r}}_{A} = 2 \hat{i} + 3 \hat{j}

{\vec{r}}_{B} = 6 \hat{i} + 7 \hat{j}

{\vec{v}}_{A} = 3 \hat{i} - \hat{j}

and

{\vec{v}}_{B} = x \hat{i} - 5 \hat{j}

. What is the value of

x

, if, they collide?

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 127

Two particles $A$ and $B$ move with velocities $v_{1}$ and $v_{2}$ , respectively, along with the $x$ and $y$ axis. The initial separation between them is $d$ , as shown in the figure. Find the least distance between them during their motion.

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 130

Two cars are moving in the same direction with a speed of

30 km h^{- 1}

. They are separated from each other by

5 km

. A third car is moving in the opposite direction and meets the two cars after an interval of

4 minutes

. What is the speed of the third car?

A boat that can move with a speed of 5 m s-1 relative to the water crosses a river of width 480 m flowing with a constant speed of 4 m s-1. What is the time taken by the boat to cross the river along the shortest path?

Important Questions on Kinematics

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A boat that can move with a speed of $5 m s^{- 1}$ relative to the water crosses a river of width $480 m$ flowing with a constant speed of $4 m s^{- 1}$ . What is the time taken by the boat to cross the river along the shortest path?