Motion in One Dimension
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Questions and Answers

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?

<p>Initial velocity and acceleration are parallel or anti-parallel to each other (C)</p> Signup and view all the answers

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

<p>v^2 = u^2 + 2as (D)</p> Signup and view all the answers

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

<p>Velocity of the particle (A)</p> Signup and view all the answers

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

<p>Particle is at rest (A)</p> Signup and view all the answers

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

<p>Particle is moving with uniform velocity (A)</p> Signup and view all the answers

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

<p>Particle is accelerating (C)</p> Signup and view all the answers

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

<p>Particle is changing its position with infinite velocity (C)</p> 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?

<p>The particle is moving with uniform acceleration (B)</p> 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?

<p>Towards north-east (D)</p> Signup and view all the answers

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

<p>Velocity is time-dependent, acceleration is constant (A)</p> 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?

<p>Variable acceleration (B)</p> 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?

<p>Towards north-east (C)</p> 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?

<p>1 : √3 (B)</p> 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?

<p>Uniform velocity (A)</p> 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?

<p>Uniform, accelerated (C)</p> 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?

<p>1 : 3 (D)</p> 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?

<p>Uniform motion (D)</p> Signup and view all the answers

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

<p>Because they are observing the object from different positions (B)</p> Signup and view all the answers

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

<p>Two (C)</p> 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?

<p>Frame of reference (B)</p> Signup and view all the answers

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

<p>It does not change its position as time passes with respect to the frame of reference (C)</p> 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)?

<p>xˆi + yˆj + zkˆ (C)</p> 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?

<p>√2r (A)</p> 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?

<p>πr (B)</p> Signup and view all the answers

A wheel of radius R rolls forward half a revolution. What is the magnitude of displacement of the point initially in contact with the ground?

<p>R√(2 + 4π^2) (B)</p> Signup and view all the answers

What is the rate of distance covered with time called?

<p>Speed (D)</p> Signup and view all the answers

Which of the following is a scalar quantity?

<p>Speed (B)</p> Signup and view all the answers

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