Match the first column with appropriate entries in the second and third columns and remake the table. S. No. Column 1 Column 2 Column 3 1 Negative acceleration The velocity of the object remains constant A car, initially at rest reaches a velocity of 50 km / hr in 10 seconds 2 Positive acceleration The velocity of the object decreases A vehicle is moving with a velocity of 25 m / s 3 Zero acceleration The velocity of the object increases A vehicle moving with the velocity 10 m / s , stops after 5 seconds

S. No. Column 1 Column 2 Column 3 1 Negative acceleration The velocity of the object decreases A vehicle moving with the velocity 10 m / s , stops after 5 seconds 2 Positive acceleration The velocity of the object increases A car, initially at rest reaches a velocity of 50 km / hr in 10 seconds 3 Zero acceleration The velocity of the object remains constant A vehicle is moving with a velocity of 25 m / s In positive acceleration, velocity of the object increases. In the negative acceleration velocity of the object decreases; the object may still travel in the same direction, but since the final velocity is smaller than the initial velocity, the object's acceleration is negative. Zero acceleration is where the object is moving at a constant velocity relative to an inertial reference frame.

A bus is moving at a speed of 36 km h . It is retarding at a rate of 4 m s 2 and comes to rest finally. Find the distance travelled by it.

Given that, Initial velocity of the bus, u = 36 km h = 36 × 1000 3600 = 10 m s , As the bus comes to rest, its final velocity, v = 0 m s , The acceleration of the bus, a = - 4 m s 2 , ...(Negative sign shows retardation) Let s be the distance travelled by bus before coming to rest. We know that, by the third equation of motion, v 2 - u 2 = 2 a s , Putting all the given values in the above equation, ⇒ 0 2 - 10 2 = 2 × ( - 4 ) × s ⇒ s = ( - 100 ) 2 × ( - 4 ) ⇒ s = 12 . 5 m . Thus, the distance travelled by a bus before coming to rest is s = 12 . 5 m .

HARD

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A spacecraft is flying in a straight path and it has a velocity of $100 km s^{- 1}$ fires its rocket motors for $8.0 s$ . At the end of this time, its velocity increases and becomes $140 km s^{- 1}$ Find the distance travelled by the spacecraft in the first $12 s$ after the motors were started? The motors were in action for only $8.0 s$ .

Important Questions on Motion

MEDIUM

Science>Physics>Motion>Equations of Motion

A body is dropped from rest. Its velocity varies with displacement covered as:

EASY

Science>Physics>Motion>Equations of Motion

The initial velocity of a particle is

10 m / s

. It is moving with an acceleration of

4 m / s^{2}

. The distance covered by the particle after

2 s

HARD

Science>Physics>Motion>Equations of Motion

Three particles A, B and C are thrown from top of a building with same speed. A is thrown upwards, B is thrown downwards and C is thrown horizontally, they hit the ground with speed $V_{A}$ , $V_{B}$ and $V_{C}$ respectively then

MEDIUM

Science>Physics>Motion>Equations of Motion

A bus of mass

2800 kg

is travelling at a speed of

90 \frac{km}{h}

. A retarding force of

5600 N

is applied on it for a distance of

100 m

. Its velocity reduces to

EASY

Science>Physics>Motion>Equations of Motion

A body is travelling with speed

20 m s^{- 1}

having acceleration

4 m s^{- 2}

the speed of the body after

2 s

EASY

Science>Physics>Motion>Equations of Motion

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in next 10 seconds is S2 then

MEDIUM

Science>Physics>Motion>Equations of Motion

The velocity – time graph of a moving body is shown in the figure. Which of the following statements is true?

Question Image

MEDIUM

Science>Physics>Motion>Equations of Motion

A stone is dropped into a well having free water surface at depth

44.1 m

. The splash is heard

3.13 \sec

after the stone is dropped. Find the velocity of sound in air (Take

g = 9.8 \frac{m}{s^{2}}

)

EASY

Science>Physics>Motion>Equations of Motion

Two bodies of masses

m_{a}, m_{b} (m_{a} > m_{b})

are dropped from heights

‘ a ’, ‘ b ’

respectively. The ratio of velocities with which they reach ground is:

MEDIUM

Science>Physics>Motion>Equations of Motion

Two steel balls of mass

1 kg

and

2 kg

and a lead ball of

10 kg

are released together from the top of tower

30 m

high. Assuming the path to be in vacuum:

MEDIUM

Science>Physics>Motion>Equations of Motion

Which of the following is an equation for position - Time relation?

HARD

Science>Physics>Motion>Equations of Motion

A ball is thrown vertically upwards with a velocity of

49 m / s

. Calculate (Take

g = 9.8 m / s^{2}

)
(i) the maximum height to which it rises,
(ii) the total time it takes to return to the surface of the earth.

EASY

Science>Physics>Motion>Equations of Motion

A body is projected vertically upward direction with a speed $u$ . Find the (a) time taken (b) distance travelled by the body in reaching its topmost point.

HARD

Science>Physics>Motion>Equations of Motion

Derive second equation of motion by graphical method.

MEDIUM

Science>Physics>Motion>Equations of Motion

Derive third equation of motion by graphical method.

MEDIUM

Science>Physics>Motion>Equations of Motion

A bus is moving at a speed of

18 km / h

. It is retarding at a rate of

2 m / s^{2}

and comes to rest finally. Find the distance travelled by it.

EASY

Science>Physics>Motion>Equations of Motion

Match the first column with appropriate entries in the second and third columns and remake the table.

S. No.	Column 1	Column 2	Column 3
1	Negative acceleration	The velocity of the object remains constant	A car, initially at rest reaches a velocity of $50 km / hr$ in $10$ seconds
2	Positive acceleration	The velocity of the object decreases	A vehicle is moving with a velocity of $25 m / s$
3	Zero acceleration	The velocity of the object increases	A vehicle moving with the velocity $10 m / s$ , stops after $5$ seconds

EASY

Science>Physics>Motion>Equations of Motion

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of

3.0 {m/s}^{2}

for

8 .0 s .

How far does the boat travel during this time?

MEDIUM

Science>Physics>Motion>Equations of Motion

A car is travelling along the road at

8 m s^{- 1}

. It accelerates at

1 m s^{- 2}

for a distance of

18 m

. How fast is it then travelling?

MEDIUM

Science>Physics>Motion>Equations of Motion

A bus is moving at a speed of

36 \frac{km}{h}

. It is retarding at a rate of

4 \frac{m}{s^{2}}

and comes to rest finally. Find the distance travelled by it.

Important Questions on Motion

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