Motion in A Straight Line Test

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Motion in A Straight Line Test - 74

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Weekly Quiz Competition

Question 1
1 / -0

A ball is thrown vertically upwards with a velocity of $$10 ms^-1$$. IT returns to the ground with a velocity of$$ 9 ms^-1$$. If $$g = 9.8 ms^-2$$, then the maximum height attained by the ball is nearly ( assume a resistance to be uniform)

A
5.1 m

B
4.1 m

C
4.61 m

D
5 m

Solution

Given,
$$u=10m/s$$
$$g=-9.8m/s^2$$
$$v=0m/s$$
Lets consider, $$H=$$ maximum height attained by the ball
From 2nd equation of motion,
$$2as=v^2-u^2$$
$$H=\dfrac{v^2-u^2}{2g}$$
$$H=\dfrac{0^2-10\times 10}{-2\times 9.8}$$
$$H=5.1m$$
The correct option is A.
Question 2
1 / -0

Two cyclists are travelling the same distance at the speed of $$10$$ km\hr and $$15$$ km\hr respectively. If one cyclist takes $$40$$ minutes or more to cover the distance, then what distance (in km) are they travelling?

A
$$18$$ km

B
$$20$$ km

C
$$15$$ km

D
$$12$$ km

Solution
Question 3
1 / -0

A stone A is thrown at an angle of $$45^0$$ to the horizontal. Another stone B is thrown with $$20ms^{-1}$$ horizontally as shown in figure. They collide in mid-air. Find the distance BC

A
$$144$$ m

B
$$48$$ m

C
$$72$$ m

D
$$108$$ m

Solution
Question 4
1 / -0

A system is shown in the figure and man is pulling the rope from both sides with constant speed $$'u'$$. Then the speed of the block will be ($$M$$ moves vertically):

A
$$\dfrac{3u}{4}$$

B
$$\dfrac{3u}{2}$$

C
$$\dfrac{u}{4}$$

D
None of these

Solution

Imagine block A and B is being pulled at the speed u instead of man pullling the string at speed $$u$$.

By Virtual Method,
$$\sum { T.V=0 } $$
Let the velocity of mass $$M$$ and $$V$ in upward direction

applying the law
$$-Tu-\frac { Tu }{ 2 } +2Tv=0$$
$$v=\frac { 3u }{ 4 } $$
Question 5
1 / -0

A ball is dropped from a height of $$7.2$$m. It bounces back to $$3.2$$m after striking the floor. The ball remains in contact with the floor for $$20$$ms. Given that $$g=10 ms^{-2}$$, the average acceleration of the ball during the contact is:

A
$$100 ms^{-2}$$

B
$$200 ms^{-2}$$

C
$$600 ms^{-2}$$

D
$$1000 ms^{-2}$$

Solution
Question 6
1 / -0

An object is tossed vertically into the air with an initial velocity of 8 m/s. Using the sign convention upwards as positive, how does the vertical component of the acceleration $$a_y$$ of the object (after leaving the hand) vary during the flight of the object?
o

A
On the way up $$a_y > 0$$, on the way down $$a_y > 0$$

B
On the way up $$a_y < 0$$, on the way down $$a_y > 0$$

C
On the way up $$a_y > 0,$$ on the way down $$a_y < 0$$

D
On the way up $$a_y <0$$, on the way down $$a_y < 0$$

Solution
Question 7
1 / -0

A scooterist is moving on a straight road with speed $$10\;m{s^{ - 1}}$$ . A bus ahead of scooterist by 32 m, starts from rest with an acceleration $$1\;m{s^{ - 2}}$$, if both are moving in the same direction then the time after which scooter overtakes the bus is:

A
$$16$$ s

B
$$4$$ s

C
$$8$$ s

D
It cannot overtake the bus

Solution
Question 8
1 / -0

A balloon is rising with unifrom speed $$14\;m{s^{ - 1}}$$ .At a height $$98 m$$ from the ground a stone is dropped from the balloon.The time taken by the stone to strike the ground is $$\left( {g = 10\;m/{s^2}} \right)$$:

A
$$40 s$$

B
$$57.8 s$$

C
$$60 s$$

D
$$36 s$$
Question 9
1 / -0

A particle initially at rest starts moving in a straight line with constant accelration. it attains a speed of $$10m/s$$ in 2s after which it deaccelerates with constant rate and comes to rest in the next 3 seconds.An average speed of the particle during the entire motion will be

A
$$5m/s$$

B
$$10m/s$$

C
$$15m/s$$

D
$$20m/s$$

Solution
Question 10
1 / -0

A rocket of initial mass $$5000 kg$$ ejects gets at a constant rate of $$60kg/s$$ with a relative speed of $$2050 m/s$$. Acceleration of the rocket 15 second after it is blasted off from the surface of earth will be ($$g = 10m/{s}^{2}$$?)

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

B
$$20m/{s}^{2}$$

C
$$30m/{s}^{2}$$

D
$$40m/{s}^{2}$$

Solution