Motion and Time Test

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Motion and Time Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following graphs represents the movement of a car that is slowing down and comes to a complete stop?

A

B

C

D

Solution

Slope of the distance-time graph gives the instantaneous speed of the body.
For the car to be slowing down with time, the slope of the graph must continuously decrease and finally becomes zero so as the car to stop. Thus, distance-time graph shown in option D is the correct answer.
Question 2
1 / -0

Calculate the distance travelled by a man walking at a speed of 5 km/hr in 36 minutes.

A
3 km

B
4 km

C
5 km

D
6 km

Solution

Given s = 5km/hr = 5 $$\displaystyle \times \frac{5}{18}m/s$$
t = 36 minutes = 36 $$\displaystyle \times $$ 60 sec
$$\displaystyle \therefore $$ distance travelled = s $$\displaystyle \times $$ t
= $$\displaystyle \frac{25}{18}\times 36\times 60 = 3000 m$$
= $$\displaystyle \frac{3000}{1000}km = 3 km $$
Question 3
1 / -0

How many seconds are there in 12 hours?

A
12 seconds

B
720 seconds

C
43200 seconds

D
432000 seconds

E
None of these

Solution

Total seconds in $$12\ hours$$-
Total minutes in one hour,
$$1\ h = 60\ min$$
Total seconds in one min,
$$1\ min = 60\ s$$

So,
$$12\ h = 12 \times 60 \times 60\ s$$
$$\Rightarrow 12\ h = 12 \times 3600 \ s$$
$$\Rightarrow 12\ h = 43200\ s$$
Question 4
1 / -0

A man runs $$20 \ km$$ in $$30 \ min.$$ What is his speed?

A
$$10 \ km/hr$$

B
$$20 \ km/hr$$

C
$$40 \ km/hr$$

D
$$25 \ km/hr$$

Solution

Given:
Distance $$= 20 \ km$$
Time $$=30 \ min =\dfrac{30}{60}hr= \dfrac { 1 }{ 2 } hr$$

$$\therefore$$ Speed = $$\dfrac { Distance }{ time } $$ = $$\dfrac { 20 \ km}{ \left( \dfrac { 1 }{ 2 }hr \right) } $$
$$\Rightarrow$$ Speed $$=40 \ km/hr$$

Option (C) is correct.
Question 5
1 / -0

With what speed should a bus travel so that it can cover a distance of 10 km in 5 min?

A
60 km/hr

B
10 km/hr

C
12 km/hr

D
120 km/hr

Solution

$$60$$ $$min$$ = $$1hour$$
$$5$$ $$min$$ = $$\dfrac { 1 }{ 60 } \times 5=\dfrac { 1 }{ 12 } h$$

$$Speed$$ = $$\dfrac { Distance }{ Time } $$
$$Distance=10km$$
$$time=\dfrac{1}{12}h$$

$$speed$$= $$\dfrac { 10 }{ \dfrac { 1 }{ 12 } } $$ = $$10\quad \times \quad 12$$
= $$120$$ $$km/h$$
Question 6
1 / -0

Which is not a necessary assumption for simple pendulum

A
in-extensible, light and flexible string.

B
heavy but small sized sphere (bob).

C
angular displacement from the mean position is very less.

D
volume of the bob is negligible.

Solution

All the other three option are important assumption used in while deriving the time period of Simple Harmonic Motion.
Question 7
1 / -0

The quantity which tells the distance an object travels in a certain time is called -

A
acceleration

B
speed

C
velocity

D
none of these

Solution

The quantity which tells the distance an object travels in a certain time is called speed.
$$Speed = \dfrac{Distance}{Time}$$
Question 8
1 / -0

A boy cycles a distance of 640 m in 2 minutes and 40 seconds. What is the speed of the cycle?

A
4 m/s

B
8 m/s

C
12 m/s

D
16 m/s

Solution

Distance covered = 640 m
Time taken = 2 min 40 sec
= $$2$$ $$\displaystyle \times 60 + 40 = 160s$$ (because 1 minute =60seconds)
$$\displaystyle \therefore Speed = \frac{Distance}{Time}= \frac{640}{160}=4m/s$$
Question 9
1 / -0

Which of the following formulae is correct?

A
Speed=Distance$$\times $$time

B
Speed=$$\frac { Time }{ Distance } $$

C
Speed=$$\frac { 1 }{ Distance\times time } $$

D
Speed=$$\frac { distance }{ time } $$

Solution

Speed of an object is defined as distance moved per unit time.It denotes how fast or how slow the object is moving.It is given by
$$Speed=\dfrac{Distance}{time}$$
Question 10
1 / -0

Right sequence in increasing magnitude is:

A
decade, second, week, nanosecond

B
nanosecond, week, second, decade

C
nanosecond, second, week, decade

D
nanosecond, decade, second, week

Solution

$$1 ns = 10^{-9} s$$
$$1 week = $$ 7 $$days$$ = $$604800s$$
$$1 decade = 10 yrs$$ = $$3.17\times 10^{-9}s$$
So correct order is option C.

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Motion and Time Test - 11

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Motion and Time Test - 11

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Question 1

Solution

Question 2

3 km

4 km

5 km

6 km

Solution

Question 3

12 seconds

720 seconds

43200 seconds

432000 seconds

None of these

Solution

Question 4

$$10 \ km/hr$$

$$20 \ km/hr$$

$$40 \ km/hr$$

$$25 \ km/hr$$

Solution

Question 5

60 km/hr

10 km/hr

12 km/hr

120 km/hr

Solution

Question 6

in-extensible, light and flexible string.

heavy but small sized sphere (bob).

angular displacement from the mean position is very less.

volume of the bob is negligible.

Solution

Question 7

acceleration

speed

velocity

none of these

Solution

Question 8

4 m/s

8 m/s

12 m/s

16 m/s

Solution

Question 9

Speed=Distance$$\times $$time

Speed=$$\frac { Time }{ Distance } $$

Speed=$$\frac { 1 }{ Distance\times time } $$

Speed=$$\frac { distance }{ time } $$

Solution

Question 10

decade, second, week, nanosecond

nanosecond, week, second, decade

nanosecond, second, week, decade

nanosecond, decade, second, week

Solution

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