Distance

Q.

A 50 m long train passes over a bridge at a speed of 30 km/h, if it takes 36 secs cross the bridge, what is the length of the bridge?

Q. Can displacement be negative?

Q.

A ball is dropped from a height of 20 meters and at the same time another ball is thrown up from the ground with the speed of 20 m/s. When and where will the balls meet?

Q.

Derive the expression for kinetic energy. [5 MARKS]

Q.

A car moves 100 m due east and then 25 due West
(a )What is the distance covered by the car
(b)What is the displacement

Q. A cyclist follows the path from A to E as shown in the given diagram.


Calculate the distance and displacement in this case.
Given scale as $1unit=2kilometre.$

1. $20km,2\sqrt{10}km$
2. $2\sqrt{10}km,20km$
3. $10\sqrt{2}km,20km$
4. $20km,10\sqrt{2}km$

Q.

What is meant by mileage of a vehicle

Q.

A car travels $(\frac{1}{4}{)}^{th}$ of a circular path with radius r. Find the ratio of the distance to its displacement.

1. $\frac{\pi }{2}$

2. $\frac{\pi }{\sqrt{2}}$

3. $\frac{\pi }{2\sqrt{2}}$

4. 2$\pi$

Q. The ratio of the distance to displacement is always ______.

1. equal to or lesser than 1
2. equal to 1
3. can be lesser than, greater than or equal to 1
4. equal to or greater than 1

Q.

A car is moving in a circular path of radius 2m.

Calculate both the distance and the magnitude of displacement of the car after completing 1. One revolution

2. One half revolution

3. One fourth revolution.

What can you conclude about the relationship between the distance and displacement?

Q.

A jogger jogs along one length and breadth of a rectangular park. Its dimensions 150 ×120, find the distance and displacement?

Q.

Can distance be zero?

Q.

A ball is thrown vertically upward from the ground. It reaches a maximum height of 20 m in 5 sec. After what time, it will reach the ground from its maximum height position?

1. 2.5 sec

2. 5 sec

3. 10 sec

4. 25 sec

Q.

A person travels a distance of 5 m towards East, then 4 m towards North and then 2 m towards West.
(i) Calculate the total distance travelled.
(ii) Calculate the net displacement. [2 MARKS]

Q.

A force of 15 N acts on a body of mass 2 kg. Acceleration of the body will be 7.5 $\frac{m}{s^2}$

1. True

2. False

Q.

A stone is dropped into a deep well and is heard to hit the water 2 s after being dropped. Determine the depth of the well. Assume no time delay in stone hitting the water and sound being heard. Take $a=10\frac{m}{s^2}$.

1. 10 m

2. 20 m

3. 30 m

4. 40 m

Q.

The minute hand of a clock is 14m long. the approximate distance covered and displacement of the tip of the minute hand during the interval the time changes from 5:05 to 7:20 pm are =

Q. A body travels a semicircular distance of 5m. Calculate the ratio of magnitude of distance to that of displacement.

Q.

If you move 5 km north, 5 km east and 5 km south, then your displacement is.

1. 5 km towards east

2. 5 km towards south

3. 5 km towards north

4. Zero

Q. A body moves from A to B and then from B to C as shown. What is its displacement?

1. 9 m
2. 3 m
3. 4 m
4. 5 m

Q.

A particle moves $3m$ north, then $4m$ east and finally $6m$ south. Which of the following is correct about the distance travelled and the displacement?

1. The distance travelled is $13m$.

2. The distance travelled is $12m$.

3. The displacement is $13m$.

4. The displacement is $5m$.

Q. In the following figure, a body starts from G, and reaches D via A, B and C.


Calculate the ratio of the total distance travelled to the total displacement of the body if the curves GA and BC have the same radius, and all the lengths given are in feet.

1. $\frac{53}{35}$
2. $\frac{35}{53}$
3. $\frac{11}{53}$
4. $\frac{66}{35}$

Q. A runner completes one round of a circular track of diameter $400m$ in $40s.$ What will be the distance covered and the displacement respectively at the end of $2\text{min}20s$?

1. $4400m,200m$
2. $2200m,400m$
3. $2200m,800m$
4. $4400m,400m$

Q.

A body is thrown vertically up with an initial velocity of 60 m/s. If acceleration due to gravity g = $10m/s^2$, what is the time taken to reach a height of 100 m. [3 MARKS]

Q. A car is moving in a circular path of radius 2 m. Calculate both the distance and the magnitude of the displacement of the car after
i) one complete revolution
ii) one-half revolution
iii) one-fourth revolution.
What can you conclude about the relationship between distance and displacement.

Q.

An ant first travels from P to R on a right angled triangle PQR which is 13m long. Then it walks to point Q travelling 12m. Find the displacement and distance travelled by the ant.

1. Displacement: 25m, Distance: 25m

2. Displacement: 25m, Distance: 5m

3. Displacement: 5m, Distance: 25m

4. Displacement: 5m, Distance: 5m

Q. The numerical ratio of displacement to distance for a moving object is:

1. Always equal to 1
2. Always more than 1
3. Equal or less than 1.
4. Always less than 1

Q.

With what speed in $\frac{miles}{hr}$ must an object be thrown vertically upwards to reach a height of 91.5 m? (Take $a=9.8m/s^2$)

1. 42.3

2. 94.3

3. 43.7

4. 97.4

Q.

What is the distance travelled by a body and its displacement when it completes one revolution around a circular track with radius r?

1. Distance and displacement are both same and equal to 0

2. Distance and displacement are both same and equal to 2πr

3. Distance = 0 and displacement = 2πr

4. Distance = 2πr and displacement = 0

Q. Define displacement of a particle in linear motion. Does it depend upon the origin? Explain