Motion in A Straight Line Test

Result

Motion in A Straight Line Test - 77

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Question 1
1 / -0

Two particles $$A$$ and $$B$$ are initially located on $$y-axis$$ with distance $$l$$ apart. They start moving at time $$t = 0$$ such that the velocity $$\vec u$$ of $$B$$ is always along the $$x-axis$$ and velocity $$\vec v$$ of $$A$$ is continuously aimed at $$B.$$ At $$t = 0, \vec { u }$$ is perpendicular to $$\vec { v }.$$ The particles will meet after time

A
$$\dfrac { u l } { v ^ { 2 } - u ^ { 2 } }$$

B
$$\dfrac { v l } { v ^ { 2 } - u ^ { 2 } }$$

C
$$\dfrac { u l } { v ^ { 2 } + u ^ { 2 } }$$

D
$$\dfrac { v l } { v ^ { 2 } + u ^ { 2 } }$$
Question 2
1 / -0

A balloon is moving up from the ground in such a way that its acceleration is linearly decreasing with its height above the ground. It starts from the ground with acceleration $$4 \mathrm { m } / \mathrm { s } ^ { 2 }$$ and with zero initial velocity Its acceleration becomes zero at a height $$3\mathrm { m } .$$ The speed of the balloon at a height $$1.5\mathrm { m }$$ is:

A
$$4 \mathrm { m } / \mathrm { s }$$

B
$$8 \mathrm { m } / \mathrm { s }$$

C
$$6 \mathrm { m } / \mathrm { s }$$

D
$$3 \mathrm { m } / \mathrm { s }$$

Solution
Question 3
1 / -0

An automobile and a truck start from rest at the same instant, the automobile initially at some distance behind the truck. The truck has a constant acceleration of $$2.2m/s^{2}$$ and the automobile has an acceleration of $$3.5m/s^{2}$$. The automobile overtakes the truck when it (truck) has moved $$60m$$. How much time does it take the automobile to overtake the truck and how far behind the automobile the truck initially was ?

A
$$7.39s.35.5m$$

B
$$1.35s.15.5m$$

C
$$5.9s.15.5m$$

D
$$9.39s.35.5m$$

Solution
Question 4
1 / -0

Two particles start moving from the same point along the same straight line .the first constant veiocity v and the second with constant accleration a. During the time that the second catch the first the greatres distance between the particles is

A
$$\frac { { v }^{ 2 } }{ a }$$

B
$$\frac { { v }^{ 2 } }{ 2a }$$

C
$$\frac { { 2v }^{ 2 } }{ a }$$

D
$$\frac { { v }^{ 2 } }{ 4a }$$

Solution
Question 5
1 / -0

Two bodies of different masses are dropped simultaneously from same height,If air friction acting them is directly proportional to the square of their mass then

A
Lighter body reaches the ground earlier

B
Heavier body reaches the ground earlier

C
both reach the ground n the same time

D
Lighter body do not reach the ground

Solution

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Question 6
1 / -0

A body is moving with a uniform acceleration covers 200 m in the first 2s and 220 m in the next 4s. find the velocity in $${ms}^{-1}$$ after 7s.

A
10

B
15

C
20

D
30

Solution
Question 7
1 / -0

The motion of a particle is described by the law $$a = t ^ { 3 } - 3 t ^ { 2 } + 5$$ where $$a$$ is the acceleration is $$\mathrm { m } / \mathrm { s } ^ { 2 }$$ and $$t$$ is time in second. The position and velocity of the particle at $$t = 1s$$ are $$8.30m$$ and $$6.25 m/s$$. Calculate the position at $$t = 2s$$.

A
$$10 m$$

B
$$12 m$$

C
$$15.6 m$$

D
$$14 m$$

Solution
Question 8
1 / -0

A body falling freely from rest covers $$\dfrac { 7 }{ 16 } $$ of the total height in the last second of its fall. The height from which it falls is

A
$$38.4 m$$

B
$$78.4 m$$

C
$$9.8 m$$

D
$$19.6 m$$

Solution

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Question 9
1 / -0

A trolley of mass 300 kg carrying sand 200 kg (in it) is moving uniformly with speed of 40km/h on a frictionless track. After a while sand starts leaking out of a hole on the track. What is the speed of the trolley after entire sand is leaked out?

A
24km/h

B
30km/h

C
66km/h

D
40km/h

Solution
Question 10
1 / -0

A boat takes 2 hours to travel 8 km and back in still water. If the velocity of the water is 4 km/h then the time taken for going upstream of 8 km and then coming back would be

A
2 hours

B
2 hours and 40 min

C
1 hours 20 min

D
Cannot be found with the information given

Solution