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</p> Signup and view all the answers

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

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

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

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

    What is the rate of distance covered with time called?

    <p>Speed</p> Signup and view all the answers

    Which of the following is a scalar quantity?

    <p>Speed</p> Signup and view all the answers

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