11th Physics Monthly Test - 1 (Kinematics)

MABS Institution

11th Physics Monthly Test - 1 (Kinematics)-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

At the highest point of oblique projection, which of the following is correct?

velocity of the projectile is zero
acceleration of the projectile is zero
acceleration of the projectile is vertically downwards
velocity of the projectile is vertically downwards

The displacement of particle is given by X = a_o+ \(\frac{a_1t}{2}-\frac{2_2t^2}{3}\) What is its acceleration?

\(\frac{2a_2}{3}\)
\(-\frac{2a_2}{3}\)
a₂
zero

The angle between anti parallel vectors is

0^o
90^o
180^o
0 (or) 180^o

The acceleration of a moving body can be found from:

area under velocity-time graph
area under distance-time graph
slope of the velocity-time graph
slope of distance-time graph

A car starting from rest, accelerates at a constant rate x from sometimes after which it decelerates at a constant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the car is given by

\(\frac{xy}{x+y}t\)
\(\frac{xy}{x-y}t\)
\(\frac{x^2y^2}{x^2+y^2}t\)
\(\frac{x^2y^2}{x^2-y^2}t\)

An object falls from a height h (h << R), the speed of the object when it reaches the ground is

\(\frac{1}{2}gt^2\)
\(\sqrt{gt}\)
gh
\(\sqrt{2gh}\)

The slope of velocity-time graph gives

velocity
acceleration
force
displacement

The distance covered by an object falling down freely under gravity in the last second of its motion is equal to the distance covered by it during the first five seconds of its motion. The time (in seconds) taken by the object to reach the ground is

s-t graph shown in figure is a parabola. From this graph we find that:

the body is moving with uniform velocity
the body is moving with uniform speed
the body is starting from rest and moving with uniform acceleration
the body is not moving at all

If a car at rest accelerates uniformly to a speed of 144 krn/h in 20 sec, it covers a distance of

1440cm
2980cm
20m
400m

Part - B

Generic 2 - Answer All Question

What is projectile? Give example.

Does a vector quantity depends upon frame of reference chosen?

Is the time variation of position, shown in the adjacent figure, observed in nature?

What are the types of motion?

Write vectors shown graphically:
\(\vec{A}=3\hat{i}+4\hat{j};\vec{B}=2\hat{i}-3\hat{j};\vec{C}=-5\hat{i}-4\hat{j};\vec{D}=-4\hat{i}+3\hat{j}\)
Explain what is meant by Cartesian coordinate system?

A boy is running on a circular track of radius 50 m. Calculate the displacement of the boy after completing 5 rounds of the track.

Distinguish between uniformly accelerated and non-uniformly accelerated motion.

A car is moving along X-axis. As shown in figure it moves from O to P in 18 seconds and return from P to Q in 6 second. What are the average velocity and average speed of the car in going from
(I)O to P
(II) From O to P and back to Q

Define unit radian.

Part - C

Generic 3 - Answer All Question

A bus travels 6 km towards north at an angle of 45^o to the east and then travels 4 km towards north at an angle of 135^o to the east. How far is its final position, due east and due north? How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

The velocity-time graph for a vehicle is shown in the figure. Draw acceleration-time graph from it.

At what angle do the two forces (P + Q) and (P - Q) act so that the resultant is \(\sqrt { { 3P }^{ 2 }+Q^{ 2 } } \)

A projectile is fired horizontally with a velocity u making an angle θ. Derive the expression for time of the flight.

A swimmer's speed in the direction of flow of a river is 12 km h^-1. Against the direction of flow ofthe river the swimmer's speed is 6 km h^-1.Calculate the swimmer's speed in still water and the velocity of the river flow.

Two vectors \(\vec A\) and \(\vec B\) are given in the component form as \(\overrightarrow { A } =5\hat { i } +7\hat { j } -4\hat { k } \) and \(\overrightarrow { B } =6\hat { i } +3\hat { j } +2\hat { k } \). Find \(\vec { A } +\vec { B } ,\vec { B } +\vec { A } ,\vec { A } -\vec { B } ,\vec { B } -\vec { A } \)
An object is in uniform motion along a straight line, what will be position time graph for the motion of object, if (i) X₀ = positive, v = negative is constant.
(i) x₀ = positive v negative is \(\left| \overrightarrow { v } \right| \)constnat
(ii) both X₀ and v are negative Ivl is constant.
(iii) X₀ = negative, v = positive \(\left| \overrightarrow { v } \right| \)is constant.
(iv) both X₀ and v are positive \(\left| \overrightarrow { v } \right| \) is constant where x₀is position at t = 0

Derive the expression for a body projected horizontally?

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh^-1. By how much distance will the bomb miss the target?

Find the distance travelled by the particle during the time t = 0 to t = 3 seconds from the figure.

Part - D

Generic 5 - Answer All Question

Discuss the properties of scalar and vector products.

Explain in details the subtraction of two vectors.

A train moving with a speed of 100 km/h can be stopped by brakes after atleast 15m. What will be the minimum stopping distance, if the same train is moving at a speed of 120 km/h?

Two particles move along x axis. The position of particle is given by x = 6.0 t² + 4.0 t + 2.0, acceleration of particle 2 is given by a = -6.0 t and t =0, its velocity is 30 ms^-1, When the velocities of the particles match, find their velocities.

Two bodies of mass 30 and 6g have position vectors \(2\hat { i } +\hat { j } +3k\quad and\quad \hat { j } +3\hat { j } +2k\) respectively. Find the position vectors of centre of mass.

The velocity time graph of a particle is given by

(i) Calculate distance and displacement of particle from given v-t graph.
(ii) Specify the time for which particle undergone acceleration, retardation and moves with constant velocity.
(iii) Calculate acceleration, retardation from given v-t graph.
(iv) Draw acceleration-time graph of given v-t graph.

Define the term motion and explain the different types of motion.
Explain the types of motion with example.

Write note on integration.

Derive the kinematic equations of motion for constant acceleration. (OR) Derive equations of uniformly accelerated motion by calculus method.

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11th Physics Monthly Test - 1 (Kinematics)

MABS Institution

11th Physics Monthly Test - 1 (Kinematics)-Aug 2020

Part - A

Multiple Choice Question - Answer All Question

At the highest point of oblique projection, which of the following is correct?

The displacement of particle is given by X = ao + \(\frac{a_1t}{2}-\frac{2_2t^2}{3}\) What is its acceleration?

The angle between anti parallel vectors is

The acceleration of a moving body can be found from:

A car starting from rest, accelerates at a constant rate x from sometimes after which it decelerates at a constant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the car is given by

An object falls from a height h (h << R), the speed of the object when it reaches the ground is

The slope of velocity-time graph gives

The distance covered by an object falling down freely under gravity in the last second of its motion is equal to the distance covered by it during the first five seconds of its motion. The time (in seconds) taken by the object to reach the ground is

s-t graph shown in figure is a parabola. From this graph we find that:

If a car at rest accelerates uniformly to a speed of 144 krn/h in 20 sec, it covers a distance of

Part - B

Generic 2 - Answer All Question

What is projectile? Give example.

Does a vector quantity depends upon frame of reference chosen?

Is the time variation of position, shown in the adjacent figure, observed in nature?

What are the types of motion?

Write vectors shown graphically: \(\vec{A}=3\hat{i}+4\hat{j};\vec{B}=2\hat{i}-3\hat{j};\vec{C}=-5\hat{i}-4\hat{j};\vec{D}=-4\hat{i}+3\hat{j}\)

Explain what is meant by Cartesian coordinate system?

A boy is running on a circular track of radius 50 m. Calculate the displacement of the boy after completing 5 rounds of the track.

Distinguish between uniformly accelerated and non-uniformly accelerated motion.

A car is moving along X-axis. As shown in figure it moves from O to P in 18 seconds and return from P to Q in 6 second. What are the average velocity and average speed of the car in going from (I)O to P (II) From O to P and back to Q

Define unit radian.

Part - C

Generic 3 - Answer All Question

The velocity-time graph for a vehicle is shown in the figure. Draw acceleration-time graph from it.

At what angle do the two forces (P + Q) and (P - Q) act so that the resultant is \(\sqrt { { 3P }^{ 2 }+Q^{ 2 } } \)

A projectile is fired horizontally with a velocity u making an angle θ. Derive the expression for time of the flight.

A swimmer's speed in the direction of flow of a river is 12 km h-1. Against the direction of flow ofthe river the swimmer's speed is 6 km h-1.Calculate the swimmer's speed in still water and the velocity of the river flow.

Derive the expression for a body projected horizontally?

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh-1. By how much distance will the bomb miss the target?

Find the distance travelled by the particle during the time t = 0 to t = 3 seconds from the figure.

Part - D

Generic 5 - Answer All Question

Discuss the properties of scalar and vector products.

Explain in details the subtraction of two vectors.

A train moving with a speed of 100 km/h can be stopped by brakes after atleast 15m. What will be the minimum stopping distance, if the same train is moving at a speed of 120 km/h?

Two particles move along x axis. The position of particle is given by x = 6.0 t2 + 4.0 t + 2.0, acceleration of particle 2 is given by a = -6.0 t and t =0, its velocity is 30 ms-1, When the velocities of the particles match, find their velocities.

Two bodies of mass 30 and 6g have position vectors \(2\hat { i } +\hat { j } +3k\quad and\quad \hat { j } +3\hat { j } +2k\) respectively. Find the position vectors of centre of mass.

Define the term motion and explain the different types of motion.

Explain the types of motion with example.

Write note on integration.

Derive the kinematic equations of motion for constant acceleration. (OR) Derive equations of uniformly accelerated motion by calculus method.

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The displacement of particle is given by X = a_o+ \(\frac{a_1t}{2}-\frac{2_2t^2}{3}\) What is its acceleration?

Write vectors shown graphically:
\(\vec{A}=3\hat{i}+4\hat{j};\vec{B}=2\hat{i}-3\hat{j};\vec{C}=-5\hat{i}-4\hat{j};\vec{D}=-4\hat{i}+3\hat{j}\)

A car is moving along X-axis. As shown in figure it moves from O to P in 18 seconds and return from P to Q in 6 second. What are the average velocity and average speed of the car in going from
(I)O to P
(II) From O to P and back to Q

A swimmer's speed in the direction of flow of a river is 12 km h^-1. Against the direction of flow ofthe river the swimmer's speed is 6 km h^-1.Calculate the swimmer's speed in still water and the velocity of the river flow.

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh^-1. By how much distance will the bomb miss the target?

Two particles move along x axis. The position of particle is given by x = 6.0 t² + 4.0 t + 2.0, acceleration of particle 2 is given by a = -6.0 t and t =0, its velocity is 30 ms^-1, When the velocities of the particles match, find their velocities.