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Q1.
The position of a particle moving along the x-axis varies with time t as x=4tt2+1. Find the time interval(s) during which the particle is moving along positive x- direction.
  1. 0<t<2
  2. t<2
  3. t>2
  4. t>0
Q2.
The position x of particle moving along x- axis varies with time t as x= A sin(ωt) where A and ω are positive constants. The acceleration a of particle varies with its position (x) as
  1. a=ω2xA
  2. a=Ax
  3. a=ω2x
  4. a=Aωx
Q3.
The position x of a particle moving along x-axis varies with time t as x=Again(ωt) where A and ω are positive constants. The acceleration of a particle varies with its position (x) as
Q4.
The velocity (v) of a particle moving along xaxis varies with its position x as shown in figure. The acceleration (a) of particle varies with position (x) as

806129_00891845c62d4dc387aedcad009d5b03.png

  1. a2=x+3
  2. a=2x2+4
  3. 2a=3x+5
  4. a=4x8
Q5.
The position of a particle moving along x-axis varies with time t as x=4tt2+1. If the time interval(s) during which the particle is moving along positive x-direction is 0<t<u. The value of u (in s) is  

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