A cyclist goes around a circular track of diameter 105 m in 5 min . Calculate his speed and velocity at the end of 7 minutes 30 seconds.

Given that, The diameter of the circular track is D = 105 m . The time taken by the cyclist to complete one round of the circular track is 5 min = 5 × 60 = 300 s . So, time of travel t = 7 min 30 s = 7 × 60 + 30 = 450 s . The number of rounds completed is 450 300 = 1 . 5 rounds. Thus, distance travelled by the cyclist at the end of 1 . 5 rounds is d = 1 . 5 × π × D = 1 . 5 × 22 7 × 105 = 495 m . Speed = Distance Time So, the speed of the cyclist is v = d t = 495 450 = 1 . 1 m s - 1 . The displacement of the cyclist at the end of 1 . 5 rounds is d ' = D = 105 m . Velocity = Displacement Time Thus, the velocity of the cyclist is v ' = d ' t = 105 450 = 0 . 23 m s - 1 .

Name a device that measures distance travelled in automobiles. A body travels a distance of 15 m from A to B and then moves a distance of 20 m at right angle to AB . Calculate the total distance travelled and the displacement.

The device that measures the distance travelled in automobiles is known as odometer. It measures the distance travelled in kilometre. Given that, Let the body travel to point C which is perpendicular to AB and at 20 m . The total distance travelled is s = AB + BC = 15 + 20 = 35 m . For displacement, consider the figure below: The displacement is the shortest distance between A and C . According to Pythagoras theorem, Hypotenuse 2 = side 2 + side 2 AC = 15 2 + 20 2 = 225 + 400 = 625 = 25 m . Thus, the distance travelled is 35 m and displacement is 25 m .

EASY

9th CBSE

IMPORTANT

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A farmer moves along the boundary of a square field of side $10 m$ in $40 s$ . What will be the magnitude of displacement of the farmer at the end of $2 \min 40 s$ ?

Important Questions on Motion

MEDIUM

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 34

Rajeev went from Delhi to Chandigarh on his motorbike. The odometer reads

4200 km

at the start of the trip and

4460 km

at the end of the trip. If Rajeev took

4 h 20 \min

to complete his trip, find the average speed in

km h^{- 1}

as well as

m s^{- 1}

MEDIUM

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 35

A cyclist goes around a circular track of diameter

105 m

5 \min

. Calculate his speed and velocity at the end of

7

minutes

30

seconds.

EASY

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 36

Why is luggage kept on the roof of a bus tied with a rope?

HARD

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 36

A car is moving at a velocity of

72 km h^{- 1}

. Suddenly brakes are applied so as to stop the car at a distance of

10 m

. Find the force exerted by the brakes on the car if the total mass of car and passengers is equal to

100 kg

EASY

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 37

A girl drove to a hospital from her home and noted the odometer reading of her car increased by

12 km

. The trip took

18 \min

. What was her average speed?

EASY

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 37

A girl drove to a hospital from her home and noted the odometer reading of her car increased by

12 km

. The trip took

18 \min

. If she returned home by the same path

7 h 30 \min

after she left, what was her average speed and velocity for the entire trip?

EASY

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 38

Name a motion where an object does not change its speed but its direction of motion changes continuously. Calculate the speed of tip of second hand of watch of length

1.5 cm

EASY

9th CBSE

IMPORTANT

Modern's abc+ Of Science - Physics For Class IX>Chapter 1 - Motion>Summative Assessment Some Solved CBSE Sample Questions>Q 39

Name a device that measures distance travelled in automobiles. A body travels a distance of

15 m

from

A

B

and then moves a distance of

20 m

at right angle to

AB

. Calculate the total distance travelled and the displacement.

A farmer moves along the boundary of a square field of side 10 m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 min 40 s?

Important Questions on Motion

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A farmer moves along the boundary of a square field of side $10 m$ in $40 s$ . What will be the magnitude of displacement of the farmer at the end of $2 \min 40 s$ ?