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Sheldon and Penny are sitting in the back seat of a car that is moving in the x-direction with avelocity of 20 m/s. Sheldon makes a snide remark and Penny responds by throwing the cap ofher soda bottle at him with a velocity of 11 m/s (in what we'll call the y-direction) in theirreference frame. From the point of view of someone standing alongside the road, the speed ofthat cap would be closest to:

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is E

Explanation:

From the question we are told that

The velocity in the x direction is  [tex]v_x =  20 \ m/s[/tex]

The velocity of the cap of the soda bottle in the y direction is  [tex]v_y  =  11 \  m/s[/tex]

  Gnerally the speed of the cap as seen by the observer  is mathematically represented as

      [tex]v_c = \sqrt{v_x^2 + v_y^2}[/tex]

=>    [tex]v_c = \sqrt{ 20^2 + 11^2}[/tex]

=>    [tex]v_c = 22.83 \  m/s [/tex]

=>    [tex]v_c = 23 \  m/s [/tex]

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