Student Login

Home›Chapters›Motion in One Dimension PYQs›Distance, Displacement & Average Speed›Question 10

JEE Main 2023 (10 Apr, Shift 2) · Distance, Displacement & Average Speed

Distance, Displacement & Average Speed question from JEE Main 2023 (10 Apr, Shift 2)

Q10JEE Main 2023 · 10 APR · SHIFT 2Easy

Distance, Displacement & Average Speed

A person travels $x$ distance with velocity $v_1$ and then $x$ distance with velocity $v_2$ in the same direction. The average velocity of the person is $v$ , then the relation between $v, v_1$ and $v_2$ will be.

Show answer and solution

Answer: (d)

Same direction, so displacement $= 2x$ and time $= \frac{x}{v_1} + \frac{x}{v_2}$ .
$v = \frac{2x}{x/v_1 + x/v_2} \Rightarrow \frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2}$
So the answer is (d).

Report a mistake

More questions on Distance, Displacement & Average Speed

A vehicle travels 4 km with speed of 3 km/h and another 4 km with speed of 5 km/h, then…JEE Main 2023 (30 Jan, Shift 2)
A car travels a distance of ' x ' with speed v₁ and then same distance ' x ' with speed…JEE Main 2023 (25 Jan, Shift 1)
An object moves with speed v₁, v₂ and v₃ along a line segment AB, BC and CD respectively…JEE Main 2023 (1 Feb, Shift 1)
A horse rider covers half the distance with 5 m/s speed. The remaining part of the…JEE Main 2023 (30 Jan, Shift 1)
A car covers AB distance with first one-third at velocity v1 ms ⁻¹, second one-third at…JEE Main 2022 (28 Jun, Shift 2)
A person travelling in a straight line moves with a constant velocity v₁ for certain…NEET 2019
A toy car with charge q moves on a frictionless horizontal plane surface under the…NEET 2018
A particle covers half of its total distance with speed v1 and the rest half distance…NEET 2011 (AIPMT, Mains)