Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202310 Apr 2023Evening ShiftPhysicsMotion in One DimensionActual

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

Options

  1. Av = v 1 + v 2 2
  2. B1 v = 1 v 1 + 1 v 2
  3. Cv = v 1 + v 2
  4. D2 v = 1 v 1 + 1 v 2

Correct answer

D. 2 v = 1 v 1 + 1 v 2

Step-by-step solution

The time t 1 taken by the person to travel distance x with velocity v 1 is given by t 1 = x v 1       . . . 1 The time t 2 taken by the person to travel distance x with velocity v 2 is given by t 2 = x v 2       . . . 2 The formula to calculate the average speed v of the person is given by v = 2 x t 1 + t 2       . . . 3 Substitute the expressions from equations (1) and (2) into equation (3) to obtain the required relation. v = 2 x x v 1 + x v 2 ⇒ x v 1 + x v 2 = 2

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving up with the same veloc 2026Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in the 5^ th second are 104 m and 129 2026The velocity ( v ) versus time ( t ) plot of a particle is shown in the figure, for a time interval of 40 s . The total distance travelled by the particle and the average velocity 2026From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same se 2026Two cars A and B are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that car A is moving ahead of car B . A person in car B 2026The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of acceleration at point (1, 2, 4) is _______ m/s ^2 . 2026A particle starts moving from time t=0 and its coordinate is given as x(t)=4 t³-3 t A. The particle returns to its original position (origin) 0.866 units later B. The particle is 1 2026Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the four 2026 Full Motion in One Dimension list All JEE Main PYQs