Physics · Uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, relative velocity

The acceleration of a particle which moves along the positive x-axis varies with

The acceleration of a particle which moves along the positive x-axis varies with its position as shown. If the velocity of the particle is \( 0.8 m / s \) at \( x=0, \) the velocity of the particle at \( x= \) 1.4 is \( (\text { in } m / s) \)

  • A. 1.6
  • B. 1.2
  • C. \( 1 . \)
  • D. None of these

Step-by-step solution

Without the specific acceleration vs. position graph, the velocity at x=1.4 cannot be determined from the given options. The general method is to use the area under the a-x graph to find the change in velocity via v dv = a dx, but the graph is not provided.
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