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JEE Main20231 Feb 2023Morning ShiftPhysicsMotion in One DimensionActual

An object moves with speed v 1 , v 2 and v 3 along a line segment A B , B C and C D respectively as shown in figure. Where A B = B C and A D = 3 A B , then average speed of the object will be :

Options

  1. Av 1 + v 2 + v 3 3
  2. Bv 1 v 2 v 3 3 v 1 v 2 + v 2 v 3 + v 3 v 1
  3. C3 v 1 v 2 v 3 v 1 v 2 + v 2 v 3 + v 3 v 1
  4. Dv 1 + v 2 + v 3 3 v 1 v 2 v 3

Correct answer

C. 3 v 1 v 2 v 3 v 1 v 2 + v 2 v 3 + v 3 v 1

Step-by-step solution

Speed of an object is defined as the distance travelled by the object per unit time. Let's assume that, A B =   d . So, B C =   d ,   A D =   3 d . Also, assume that the time required by the object to travel A B ,   B C ,   C D are t 1 ,   t 2 ,   t 3 respectively. Now, A D =   3 A B A B + B C + C D =   3 A B A B + A B + C D =   3 A B C D =   A B Hence, t 1 =   A B v 1 =   d v 1 t 2 =   d v 2 t 3 =   d v 3 The formula to calculate t

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