Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20258 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2025 · 8 April · Evening Shift · Physics · Motion in One Dimension

A body of mass 2 kg moving with velocity of v _ in =3 i +4 j ms^ -1...

A body of mass 2 kg moving with velocity of v→in=3i^+4j^ms−1\overrightarrow{\mathrm{v}}_{\mathrm{in}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}} \mathrm{ms}^{-1} enters into a constant force field of 6 N directed along positive z -axis. If the body remains in the field for a period of 53\frac{5}{3} seconds, then velocity of the body when it emerges from force field is

Options

  1. A4i^+3j^+5k^4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}
  2. B3i^+4j^+5k^3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}
  3. C3i^+4j^−5k^3 \hat{i}+4 \hat{j}-5 \hat{k}
  4. D3i^+4j^+5k^3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+\sqrt{5} \hat{\mathrm{k}}

Correct answer

B. 3i^+4j^+5k^3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}

Step-by-step solution

a→=B2k^=3k^,t=53 su→=3i^+4j^v→=u→+a→t=3i^+4j^+5k^\begin{aligned} & \overrightarrow{\mathrm{a}}=\frac{\mathrm{B}}{2} \hat{\mathrm{k}}=3 \hat{\mathrm{k}}, \mathrm{t}=\frac{5}{3} \mathrm{~s} \\ & \overrightarrow{\mathrm{u}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}} \\ & \overrightarrow{\mathrm{v}}=\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{a}} \mathrm{t}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}\end{aligned}
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… JEE Main 2026Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12… JEE Main 2026The velocity ( v ) versus time ( t ) plot of a particle is shown in the figure, for a… JEE Main 2026From 18 m height above the ground a ball is dropped from rest. The height above the… JEE Main 2026Two cars A and B are moving in the same direction along a straight line with speeds 100… JEE Main 2026The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of… JEE Main 2026A particle starts moving from time t=0 and its coordinate is given as x(t)=4 t^ 3 -3 t A.… JEE Main 2026Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the… JEE Main 2026 Full Motion in One Dimension list All JEE Main PYQs