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AP EAMCET202017 Sep 2020Morning ShiftPhysicsMotion in One DimensionActual

A body is moving with an initial velocity of (10 2 ~ms ⁻¹ ) in the north-east direction. If it is subjected to an acceleration of (2 ~ms ⁻² ) directed towards the south, then velocity of the body after (5 ~s ) is

Options

  1. A(10 ~ms ⁻¹ ), towards east
  2. B(10 ~ms ⁻¹ ), towards north
  3. C(10 ~ms ⁻¹ ), towards south
  4. D(10 ~ms ⁻¹ ), towards north-east

Correct answer

A. (10 ~ms ⁻¹ ), towards east

Step-by-step solution

The given situation is shown in the following figure Initial velocity of body, ( aligned & u =10 2 45^ i +10 2 45^ j & =10 i +10 j =10( i + j ) aligned ) Acceleration applied on body in south direction, ( a _s=2(- j )=-2 j ) ( ) Velocity of body after (5 ~s ) is given as ( aligned v & = u + a _s t=10( i + j )+(-2 j ) 5 & =10 i +10 j -10 j =10 i aligned ) Hence, body will move towards east with the velocity (10 ~ms ⁻¹ ).

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