Motion in One Dimension

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What is the condition for a particle to move with constant speed?

Acceleration is zero (correct)

Initial velocity is zero

Initial velocity and acceleration are parallel to each other

Final velocity is equal to initial velocity

What is the relationship between distance travelled and time when a body moves with uniform acceleration from rest?

s ∝ t

s ∝ t^2 (correct)

s ∝ 1/t

s ∝ t^3

What is the equation of motion that relates velocity and acceleration?

v = u / at

v = u × at

v = u - at

v = u + at (correct)

What is the condition for one-dimensional motion?

Initial velocity and acceleration are parallel or anti-parallel to each other Signup and view all the answers

What is the equation that relates velocity, initial velocity, and acceleration?

v^2 = u^2 + 2as Signup and view all the answers

What does the slope of a position-time graph represent?

Velocity of the particle Signup and view all the answers

What does a line parallel to the time axis on a position-time graph indicate?

Particle is at rest Signup and view all the answers

What does a line with a constant slope on a position-time graph indicate?

Particle is moving with uniform velocity Signup and view all the answers

What does a bending line towards the position axis on a position-time graph indicate?

Particle is accelerating Signup and view all the answers

What is the physical significance of θ = 90° on a position-time graph?

Particle is changing its position with infinite velocity Signup and view all the answers

What can be inferred about the motion of a particle if its displacement is directly proportional to the square of time?

The particle is moving with uniform acceleration Signup and view all the answers

What is the direction of the average acceleration of a particle that moves eastwards with a velocity of 5 m/s and then changes to 5 m/s northwards in 10 seconds?

Towards north-east Signup and view all the answers

What is the relationship between the velocity and acceleration of a particle moving with uniform acceleration?

Velocity is time-dependent, acceleration is constant Signup and view all the answers

What is the acceleration of a particle moving with a velocity that is proportional to the square root of time?

Variable acceleration Signup and view all the answers

What is the direction of the velocity of a particle moving eastwards with a velocity of 5 m/s that changes to 5 m/s northwards in 10 seconds?

Towards north-east Signup and view all the answers

What is the ratio of velocities of particles A and B if their displacement-time graphs are straight lines inclined at angles of 30° and 60° with the time axis?

1 : √3 Signup and view all the answers

What is the characteristic of the motion of a particle if its position-time graph is a straight line with a constant slope?

Uniform velocity Signup and view all the answers

A particle moves along the x-axis with a position given by the table: t (s) 0 1 2 3, x (m) –2 0 6 16. What is the correct description of the motion?

Uniform, accelerated Signup and view all the answers

Two particles A and B move along the x-axis with displacement-time graphs that are straight lines inclined at angles of 30° and 60° with the time axis. What is the ratio of their velocities?

1 : 3 Signup and view all the answers

What is the motion of a particle if its distance-time graph is a straight line with a constant slope?

Uniform motion Signup and view all the answers

What is the primary reason why the three observers describe the position of point O differently?

Because they are observing the object from different positions Signup and view all the answers

What is the minimum number of factors required to completely express the position of a point?

Two Signup and view all the answers

What is the term used to describe a system to which a set of coordinates are attached and with reference to which an observer describes any event?

Frame of reference Signup and view all the answers

What is the condition for an object to be said to be at rest?

It does not change its position as time passes with respect to the frame of reference Signup and view all the answers

What is the expression for the position vector of a point in a three-dimensional space with coordinates (x, y, z)?

xˆi + yˆj + zkˆ Signup and view all the answers

A particle moves from a point $rˆi$ to a point $rˆj$ in a coordinate system. What is the magnitude of displacement?

√2r Signup and view all the answers

A body moves over one fourth of a circular arc in a circle of radius r. What is the magnitude of distance travelled?

πr Signup and view all the answers