11th Physics Monthly Test - 3 (Kinematics)

MABS Institution

11th Physics Monthly Test - 3 (Kinematics)-Aug 2020

Time : 2.00 Hours

Part - A

Generic 2 - Answer All Question

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

What is the angle between velocity vector and acceleration vector in uniform circular motion?

What is the angular velocity of the hour hand of a clock?

Convert the vector \(\vec { r } =3\hat { i } +2\hat { j } \) into a unit vector.

Define average speed?

Find the derivative with respect to t, of the function x = A_o + A₁t + A₂t₂ where A₀, A₁and A₂ are constants.

Give some examples of physical quantities which can be expressed as the vector product of two vectors.

Compare the components of vector equation \(\vec F_1+\vec F_2+\vec F_3=\vec F_4\)

What is circular motion? Give example.

Can the position-time graph have a negative slope?

Define uniform motion.

What is the nature of the displacement time curve of a body moving with constant velocity?

Give any two examples for parallelogram law of vectors.

Calculate linear velocity of a body which moves in a circular path of radius 10 m with an angular velocity 2n radians/sec.

Part - B

Generic 3 - Answer All Question

What is non uniform circular motion?

Derive an expression for the centripetal acceleration of a body moving in a circular path of radius 'r' with uniform speed.

Define velocity and speed

The position vector of a particle is given \(r=2t\hat i+3t^2\hat j-5\hat k\)
(a) Calculate the velocity and speed of the particle at any instant t
(b) Calculate the velocity and speed of the particle at time t = 2 s.

The displacement of a body is proportional to t3, where t is time elapsed. What is the nature of acceleration -time graph of the body?

Write an expression for an acceleration rectangular components.

What is meant by Collinear vector? Explain them.

How do you deduce that two vectors are perpendicular?

Two vectors \(\vec A\) and \(\vec B\) of magnitude 5 units and 7 units make an angle 60° with each other. Find the magnitude of the difference vector \(\vec A\) - \(\vec B\) and its direction with respect to the vector \(\vec A\).

Determine the position vectors for the following particles which are located at points P, Q, R, S.

A body of mass 10 kg revolves in a circle of diameter 0.40m, making 100 revolutions per minute. Calculate its linear velocity and centripetal acceleration.

A car moving along a straight highway with speed of 126 km h^-1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform) and how long does it take for the car to stop?

How is a function represented graphically and mathematically.

The velocity of three particles A, B, C are given below. Which particle travels at the greatest speed?
\(\vec {v_A}=3\hat i+5\hat j+2\hat k\)
\(\vec {V_B}=\hat i+2\hat j+3\hat k\)
\(\vec{V_C}=5\hat i+3\hat j+4\hat k\)

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11th Physics Monthly Test - 3 (Kinematics)

MABS Institution

11th Physics Monthly Test - 3 (Kinematics)-Aug 2020

Part - A

Generic 2 - Answer All Question

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

What is the angle between velocity vector and acceleration vector in uniform circular motion?

What is the angular velocity of the hour hand of a clock?

Convert the vector \(\vec { r } =3\hat { i } +2\hat { j } \) into a unit vector.

Define average speed?

Find the derivative with respect to t, of the function x = Ao + A1t + A2t2 where A0, A1and A2 are constants.

Give some examples of physical quantities which can be expressed as the vector product of two vectors.

Compare the components of vector equation \(\vec F_1+\vec F_2+\vec F_3=\vec F_4\)

What is circular motion? Give example.

Can the position-time graph have a negative slope?

Define uniform motion.

What is the nature of the displacement time curve of a body moving with constant velocity?

Give any two examples for parallelogram law of vectors.

Calculate linear velocity of a body which moves in a circular path of radius 10 m with an angular velocity 2n radians/sec.

Part - B

Generic 3 - Answer All Question

What is non uniform circular motion?

Derive an expression for the centripetal acceleration of a body moving in a circular path of radius 'r' with uniform speed.

Define velocity and speed

The position vector of a particle is given \(r=2t\hat i+3t^2\hat j-5\hat k\) (a) Calculate the velocity and speed of the particle at any instant t (b) Calculate the velocity and speed of the particle at time t = 2 s.

The displacement of a body is proportional to t3, where t is time elapsed. What is the nature of acceleration -time graph of the body?

Write an expression for an acceleration rectangular components.

What is meant by Collinear vector? Explain them.

How do you deduce that two vectors are perpendicular?

Two vectors \(\vec A\) and \(\vec B\) of magnitude 5 units and 7 units make an angle 60° with each other. Find the magnitude of the difference vector \(\vec A\) - \(\vec B\) and its direction with respect to the vector \(\vec A\).

Determine the position vectors for the following particles which are located at points P, Q, R, S.

A body of mass 10 kg revolves in a circle of diameter 0.40m, making 100 revolutions per minute. Calculate its linear velocity and centripetal acceleration.

A car moving along a straight highway with speed of 126 km h-1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform) and how long does it take for the car to stop?

How is a function represented graphically and mathematically.

The velocity of three particles A, B, C are given below. Which particle travels at the greatest speed? \(\vec {v_A}=3\hat i+5\hat j+2\hat k\) \(\vec {V_B}=\hat i+2\hat j+3\hat k\) \(\vec{V_C}=5\hat i+3\hat j+4\hat k\)

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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

Find the derivative with respect to t, of the function x = A_o + A₁t + A₂t₂ where A₀, A₁and A₂ are constants.

The position vector of a particle is given \(r=2t\hat i+3t^2\hat j-5\hat k\)
(a) Calculate the velocity and speed of the particle at any instant t
(b) Calculate the velocity and speed of the particle at time t = 2 s.

A car moving along a straight highway with speed of 126 km h^-1 is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform) and how long does it take for the car to stop?

The velocity of three particles A, B, C are given below. Which particle travels at the greatest speed?
\(\vec {v_A}=3\hat i+5\hat j+2\hat k\)
\(\vec {V_B}=\hat i+2\hat j+3\hat k\)
\(\vec{V_C}=5\hat i+3\hat j+4\hat k\)