Motion in A Straight Line Test

Result

Motion in A Straight Line Test - 76

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Question 1
1 / -0

A stone dropped from a building of height $$h$$ and it reaches after $$h$$ seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity $$u$$ and they reach the earth surface after $$t_1$$ and $$t_2$$ seconds respectively, then

A
$$t = t _ { 1 } - t _ { 2 }$$

B
$$t = \dfrac { t _ { 1 } + t _ { 2 } } { 2 }$$

C
$$t = \sqrt { t _ { 1 } t _ { 2 } }$$

D
$$t = \sqrt { t _ { 1 } ^ { 2 } + t _ { 2 } ^ { 2 } }$$

Solution
Question 2
1 / -0

A particle is moving in a straight line with initial velocity u and uniform acceleration a .If the sum of the distances travelled in $$ t^{th}$$ and $$ (t+1)^{th}$$ seconds is 100 cm, then its velocity after t seconds in $$ cm s^{-1}$$ is

A
20

B
30

C
50

D
80

Solution
Question 3
1 / -0

A balloon of total mass 1000kg float motionless over the earth's surface. If 100kg or sand ballast are thrown over board, the balloon starts to rise with an acceleration of

A
$$10 m/s^{2}$$

B
$$9.8 m/s^{2}$$

C
$$1.09 m/s^{2}$$

D
$$4.9 m/s^{2}$$

Solution
Question 4
1 / -0

When a stone falling from the top of the vertical tower has fallen a distance x m, another is let fall from a point y m below the top. If the fall from rest and reach the ground together, then the height of the tower is

A
$$\dfrac{{{{\left( {x + y} \right)}^2}}}{{4x}}{\text{m}}$$

B
$$\dfrac{{4{{\left( {x + y} \right)}^2}}}{{x}}{\text{m}}$$

C
$$\dfrac{{4x}}{{{{\left( {x + y} \right)}^2}}}{\text{m}}$$

D
$$4x{\left( {x + y} \right)^2}{\text{m}}$$

Solution
Question 5
1 / -0

A body travels $$200\mathrm { cm }$$ in the first two seconds and $$220\mathrm { cm }$$ in the next four second. The velocity at the end of the seventh second from the start will be (acceleration is constant)

A
$$10 \mathrm { cm } / \mathrm { s }$$

B
$$5 \mathrm { cm } / \mathrm { s }$$

C
$$15 \mathrm { cm } / \mathrm { s }$$

D
$$20 \mathrm { cm } / \mathrm { s }$$

Solution
Question 6
1 / -0

A tiger chases a deer $$30m$$ ahead of it and gains $$3\ m$$ in $$5\ s$$ after the chase began. The distance gained by the tiger in $$10\ s$$ is

A
$$6\ m$$

B
$$12\ m$$

C
$$18\ m$$

D
$$20\ m$$

Solution
Question 7
1 / -0

Two bodies of masses $$1 kg$$ and $$3 kg$$ obliquely projected in opposite direction towards each other. Their velocities are $$15 ms^{-1}$$ and $$5 \sqrt 3 ms^{-1}$$ and angle made with horizontal are $$30^o$$ and $$60^o$$ respectively. They collide and stick to each other at a point when both of them reach maximum height. What is the final velocity with which the combined mass hits the ground ? $$(g=10 ms^{-2})$$

A
$$2.5 ms^{-1}$$

B
$$7.5 ms^{-1}$$

C
$$5 ms^{-2}$$

D
$$15 ms^{-1}$$

Solution
Question 8
1 / -0

A particle is falling under gravity. In first $$t$$ second it covers $$s_{1}$$ and in the next $$t$$ seconds it covers $$s_{2}$$ then $$t$$ is given by

A
$$\sqrt{\dfrac{s_{2}-s_{1}}{2g}}$$

B
$$\sqrt{\dfrac{s_{2}-s_{1}}{g}}$$

C
$$\sqrt{\dfrac{s_{2}--s_{1}}{2g}}$$

D
$$\sqrt{\dfrac{s_{2}^{2}-s_{1}2}{2g}}$$

Solution
Question 9
1 / -0

To an observer moving along East, the wind appear to blow from North. If the doubles his speed, the air would appear to come from-

A
North

B
East

C
North-East

D
North-West

Solution
Question 10
1 / -0

A body starting from rest is moving with a uniform acceleration of 8 $$m/{s^2}.$$ Then the distance travelled by it in 5th second will be.

A
40 m

B
36 m

C
100 m

D
zero.

Solution