A 4 kg mass moves under the influence of a force F = (4t³i - 3tj) N… | JEE Main 2026 (21 Jan, Shift 1)

Q3JEE Main 2026 · 21 JAN · SHIFT 1Medium

Inertia, First & Second Laws

A 4 kg mass moves under the influence of a force $\vec{F} = \left(4t^3\hat{i} - 3t\hat{j}\right)\text{ N}$ where $t$ is the time in second. If mass starts from origin at $t = 0$ , the velocity and position after $t = 2\text{ s}$ will be:

Show answer and solution

Answer: (c)

$\vec{a} = \frac{\vec{F}}{4} = t^3\hat{i} - \frac{3}{4}t\hat{j}$
$\vec{v} = \frac{t^4}{4}\hat{i} - \frac{3t^2}{8}\hat{j}$ ; at $t = 2$ : $\vec{v} = 4\hat{i} - \frac{3}{2}\hat{j}$
$\vec{r} = \frac{t^5}{20}\hat{i} - \frac{t^3}{8}\hat{j}$ ; at $t = 2$ : $\vec{r} = \frac{8}{5}\hat{i} - \hat{j}$
So the answer is (c).

Report a mistake

More questions on Inertia, First & Second Laws

A particle of mass m falls from rest through a resistive medium having resistive force, F…JEE Main 2026 (28 Jan, Shift 1)
A constant force acts on two different masses independently and produces accelerations A₁…MHT CET 2025 (22 Apr, Shift 2)
A massless spring gets elongated by amount x₁ under a tension of 5 N. Its elongation is…JEE Main 2025 (23 Jan, Shift 2)
An object with mass 500 g moves along x-axis with speed v = 4√(x) m/s. The force acting…JEE Main 2025 (7 Apr, Shift 2)
A body of mass 2 kg moving with velocity of vin = 3i + 4j ms ⁻¹ enters into a constant…JEE Main 2025 (8 Apr, Shift 2)
A block of mass 1 kg, moving along x with speed vi = 10 m/s enters a rough region ranging…JEE Main 2025 (3 Apr, Shift 2)
Which one of the following is 'NOT' a contact force?MHT CET 2024 (10 May, Shift 2)
A body of mass 4 kg experiences two forces F₁ = 5i + 8j + 7k and F₂ = 3i - 4j - 3k. The…JEE Main 2024 (1 Feb, Shift 2)

Inertia, First & Second Laws question from JEE Main 2026 (21 Jan, Shift 1)

More questions on Inertia, First & Second Laws