Motion Test

Result

Motion Test - 73

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is correct for a particle travelling with a constant speed?

A
Its position remains constant as time passes.

B
It covers equal distances in unequal time intervals.

C
Its acceleration is zero.

D
It does not change its direction of motion.
Question 2
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Directions For Questions

Study the following graphs:

...view full instructions

The particle is moving with constant speed

A
In graphs (i) and (iii)

B
In graphs (i) and (iv)

C
In graphs (i) and (ii)

D
In graphs (i)

Solution
Question 3
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The acceleration will be positive in:

A
(I) and (III)

B
(I) and (IV)

C
(II) and (IV)

D
None of these

Solution
Question 4
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Speed-distance graph of an object in uniform motion which comes to rest suddenly is

A

B

C

D

Solution
Question 5
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Match the situations given in column I with the possible curves in column II and select the correct option, from codes given

A
(a) $$\rightarrow$$ (q), (b) $$\rightarrow$$ (8), (c) $$\rightarrow$$ (p). (d) $$\rightarrow$$ (r)

B
(a) $$\rightarrow$$ (s,r). (b) $$\rightarrow$$ (q), (c) $$\rightarrow$$ (s), (d) $$\rightarrow$$ (p)

C
(a) $$\rightarrow$$(q,s); (b) $$\rightarrow$$ (r), (c) $$\rightarrow$$ (p), (d) $$\rightarrow$$ (s)

D
(a) $$\rightarrow$$(s), (b) $$\rightarrow$$ (q,p), (c) $$\rightarrow$$ (s), (d) $$\rightarrow$$ (r)

Solution
Question 6
1 / -0

Speed - distance graph of an object which comes to rest suddenly is

A

B

C

D

Solution
Question 7
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A body was initially moving with $$10\ m/sec$$ and it starts acceleration with $$2\ m/sec^{2} $$, the distance covered by it in $$10\ sec$$ will be

A
$$200\ m$$

B
$$100\ m$$

C
$$150\ m$$

D
$$250\ m$$

Solution

$$s=ut+\dfrac{1}{2}at^2$$
$$s=10\times 10+\dfrac{1}{2}\times 2\times 10^2=200m$$
Question 8
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A train is travelling at a speed of $$108\ km/h$$. Brakes are applied so as to produce a uniform retardation of $$1\ m/s^{2}$$. Find how far the train will go before it is brought to rest :

A
$$800\ m$$

B
$$450\ m$$

C
$$1000\ m$$

D
$$1050\ m$$

Solution

Given,
$$u=108km/h=\dfrac{108\times 1000}{60\times 60}=30m/s$$
$$a=-1m/s^2$$
$$v=0m/s$$
From 3rd equation of motion,
$$2as=v^2-u^2$$
$$-2\times 1\times s=0^2-30\times 30$$
$$s=\dfrac{-30\times 30}{-2\times 1}$$
$$s=450m$$
The correct option is B.
Question 9
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A jeep starts from rest and attains a speed of $$40\ km\ h^{-1}$$ in $$10$$ minutes. The uniform acceleration will be :

A
$$4\ km\ h^{-2}$$

B
$$4\ km\ s^{-2}$$

C
$$66.7\ m\ s^{-2}$$

D
$$1.85\ cm\ s^{-2}$$

Solution

$$v=40km/h= \frac{40\times5}{18 } m/s= 11.11m/s=1111cm/s$$
$$t=10mins=10\times60 =600 secs$$
$$u=0$$
$$a$$=$$\dfrac{v-u}{t}=\dfrac{1111}{600}=1.85cm/s^2$$
Question 10
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A particle has a velocity u towards east at t = 0. Its acceleration is towards west and is constant, Let $$X_A$$ and $$X_B$$ be the magnitude of displacements in the first 10 seconds and the next 10 seconds.

A
$$X_A < X_B$$

B
$$X_A = X_B$$

C
$$X_A > X_B$$

D
the information is insufficient to decide the relation of $$X_A$$ and $$X_B$$.

Solution