EASY

JEE Main/Advance

IMPORTANT

Earn 100

Two perpendicular rail tracks have two trains $A$ and $B$ , respectively. The train $A$ moves towards the North with a speed of $54 km h^{- 1}$ , and train $B$ moves towards the West with a speed of $72 km h^{- 1}$ . Assume that both the trains start from the same point. Calculate

$(a)$ The relative velocity of the ground with respect to $B$ .

$(b)$ The relative velocity of $A$ with respect to $B$ .

Important Questions on Kinematics

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 99

A man is swimming in a lake in the direction of

30 °

East of North with a speed of

5 km h^{- 1}

, and a cyclist is going on a road along the lakeshore towards the East at a speed of

10 km h^{- 1}

. In what direction and with what speed would the man appear to swim to the cyclist?

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 100

A ship is sailing towards the North, at a speed of

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

. The current is taking it towards the East at the rate of

1 m s^{- 1}

, and a sailor is climbing a vertical pole on the ship, at the rate of

1 m s^{- 1}

. Find the velocity of the sailor with respect to the ground.

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 101

A swimmer's speed in the direction of the flow of a river is

16 km h^{- 1}

. Swimmer's speed against the direction of flow of the river is

8 km h^{- 1}

. Calculate the swimmer's speed in still water and the velocity of flow of the river.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 102

A man can swim with a speed of

4 km h^{- 1}

in still water. How long does he take to cross a river, which is

1 km

wide, if the river flows steadily at

3 km h^{- 1}

, and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 103

A river is flowing from the West to the East, at a speed of

5 m \min^{- 1}

. A man on the South bank of the river, capable of swimming at

10 m \min^{- 1}

in still water, swims across the shortest path distance. In what direction should he swim?

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 104

A pipe that can rotate in a vertical plane is mounted on a cart. The cart moves uniformly along a horizontal path with speed ${\vec{v}}_{1} = 2 m s^{- 1}$ . At what angle $α$ to the horizontal should the pipe be placed, so that the raindrops falling vertically with velocity ${\vec{v}}_{2} = 6 m s^{- 1}$ , move parallel to the axis of the pipe without touching its walls? Consider the velocity of the drops as constant due to the resistance of the air.

Question Image

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 105

Rain seems to be falling vertically to a person sitting in a bus, which is moving uniformly Eastwards with

10 m s^{- 1}

. It appears to come from the vertical, at a velocity of

20 m s^{- 1}

. Find the speed of the raindrops with respect to the ground.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 106

Rain appears to fall vertically when a man walks at the rate of

2 km {hr}^{- 1}

with respect to the ground. When he increases his speed to

4 km {hr}^{- 1}

, in the same direction of his motion, rain appears to meet him at an angle of

45 °

with horizontal, find the real direction and the speed of the rain.

Important Questions on Kinematics

Learn and Prepare for any exam you want !