What is Kinematics?

What is meant by frame of reference?

Define the term modulus or magnitude of vector.

Find the magnitude of vector 3\(\hat { i } -2\hat { j } +\sqrt { 3 } \hat { k } \) ?

State the vector product of two vectors is not commutative but anti commutative.

What is meant by resolution of vector?

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

What is position vector? Show the position vector for particle in three dimensional motion. Write an expression for this position vector.

Distinguish between distance and displacement.

Explain the concept of a function.

What is calculus?

Define momentum.

Define relative velocity.

What is retardation?

Define average acceleration.

How can you find velocity from 'a - t' graph?

Write the combined effect of two velocities of a projectile.

Find the speed of the projectile when it hits the ground?

Define Time of flight (T_f) of a projectile and derive?

Write the condition for the maximum horizontal range.

Define angular acceleration

Define centripetal acceleration.

(i) Name the quantity which remains unchanged during the flight of an oblique projectile.
(ii) If the velocity of projectile is 10 ms^-1 at what angle to the horizontal should be projected as that it covers maximum horizontal distance?

Define kinematics.

Draw the diagram for Right handed co-ordinate system and explain the same.

Does a scalar quantity depends upon the frame of reference chosen.

When the sum of two vectors is maximum?

Using components method, subtract the following vectors.
\(\overrightarrow { A } ={ A }_{ x }\hat { i } +{ A }_{ y }\hat { j } +{ A }_{ z }\hat { k } \)
\(\overrightarrow { B } ={ B }_{ x }\hat { i } +{ B }_{ y }\hat { j } +{ B }_{ z }\hat { k } \)

What is position vector? Explain.

Write note on function with example.

Distinguish between average velocity and average speed.

Explain the physical significance of momentum with example.

Define relative velocity.

Distinguish between uniformly accelerated and non-uniformly accelerated motion.

Define free fall.

Define trajectory.

Can we use the equations of kinematics to find the height attained by a body projected upward with any velocity.

Given \(\vec{a}=3\hat{i}+2\hat{j}-\hat{k}\) and \(\vec{b}=\hat{i}+\hat{j}-3\hat{k}\) Determine \(\vec{a}+\vec{b}\)

Given \(\vec{a}=3\hat{i}+2\hat{j}-\hat{k}\) and \(\vec{b}=\hat{i}+\hat{j}-3\hat{k}\) Determine \(\vec{a}-\vec{b}\)

A force is inclined at 60° to the horizontal. If the horizontal component of force is 40 kg wt, calculate the vertical component.

Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 20\(\sqrt{3}\) N, find the magnitude of each force.

Define degree.

Define uniform motion.

Define non-uniform motion.

Shown that the resultant of two vectors \(\vec{A}\) and \(\vec{B}\) always lies between A + B and A - B.

State the assumptions made in the study of projectile motion.

Two vectors \(\vec{A}=\hat{i}+2\hat{j}+2\hat{k}\) and \(\vec{B}=\hat{i}+3\hat{j}+6\hat{k}\) Find their dot products.

Under what condition the sum and difference of two vectors will be equal in magnitude?

Two forces equal to P and 2P newton act on a particle. If the first be doubled and the second be increased by 20 newtons, the direction of the resultant is unaltered. Find the value of P.

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

Is pressure a vector? Give reason.

Can we add a velocity vector to a displacement vector?