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AP EAMCET20224 Jul 2022Evening ShiftPhysicsMathematics in PhysicsActual

An object moving along x -axis with a uniform acceleration has velocity v → = 12 cm s - 1 i ^ at x = 3 cm . After 2 s if it is at x = - 5 cm , then its acceleration is,

Options

  1. Aa → = - 16   cm   s - 2   i ^
  2. Ba → = 11   cm   s - 2   i ^
  3. Ca → = - 11 cms - 2   i ^
  4. Da → = 8   cm   s - 2   i ^

Correct answer

A. a → = - 16   cm   s - 2   i ^

Step-by-step solution

Applying equation of motion in vector form, we get s → = u → t + 1 2 a → t 2 ⇒ - 5   i ^ - 3 i ^ = 12   i ^ × 2 + 1 2 × a → × 2 2 ⇒ - 8   i ^ = 24   i ^ + 2 a → ⇒ a → = - 16   cm   s - 2   i ^

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