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JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2023 · 30 January · Evening Shift · Physics · Motion in One Dimension

A vehicle travels 4km with speed of 3km h ^ - 1 and another 4km...

A vehicle travels 4km4km with speed of 3kmh−13km{h}^{- 1} and another 4km4km with speed of 5kmh−15km{h}^{- 1}, then its average speed is :

Options

  1. A4.25kmh−14 . 25km{h}^{- 1}
  2. B3.50kmh−13 . 50km{h}^{- 1}
  3. C4.00kmh−14 . 00km{h}^{- 1}
  4. D3.75kmh−13 . 75km{h}^{- 1}

Correct answer

D. 3.75kmh−13 . 75km{h}^{- 1}

Step-by-step solution

Average speed in this case is given by, 2vav=1v1+1v2\dfrac{2}{{v}_{av}} = \dfrac{1}{{v}_{1}} + \dfrac{1}{{v}_{2}}

⇒2vav=13+15⇒ \dfrac{2}{{v}_{av}} = \dfrac{1}{3} + \dfrac{1}{5}

⇒2vav=815⇒ \dfrac{2}{{v}_{av}} = \dfrac{8}{15}

⇒vav=154=3.75kmh−1⇒ {v}_{av} = \dfrac{15}{4} = 3 . 75km{h}^{- 1}

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