JEE Mains · Physics · STD 11 - 3.2 motion in plane
Starting from the origin at time \(t=0,\) with initial velocity \(5 \hat{ j }\, ms ^{-1},\) a particle moves in the \(x-y\) plane with a constant acceleration of \((10 \hat{ i }+4 \hat{ j })\, ms ^{-2}\). At time \(t\), its coordinates are \(\left(20\, m , y _{0}\, m \right) .\) The values of \(t\) and \(y _{0},\) are respectively
- A \(4\, s\) and \(52\, m\)
- B \(2\, s\) and \(24\, m\)
- C \(2\,s\) and \(18\, m\)
- D \(5\, s\) and \(25\, m\)
Answer & Solution
Correct Answer
(C) \(2\,s\) and \(18\, m\)
Step-by-step Solution
Detailed explanation
Given \(\quad \overrightarrow{ u }=5 \hat{ j } m / s , \overrightarrow{ a }=10 \hat{ i }+4 \hat{ j }, \quad\) final coordinate \(\left(20, y_{0}\right)\) in time \(t\) \(S_{x}=4 u_x \times {t}+\frac{1}{2} a_{x} t^{2}\) \(\frac{1}{2} \times 10 \times t^{2}\) \(t=2 \sec\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Given is a thin convex lens of glass (refractive index \(\mu\) ) and each side having radius of curvature \(R\). One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself ?JEE Mains 2025 Easy
- Match List - I with List - II.
Choose the correct answer from the options given\(\text{ }\)below\(\text{ }\):List - I List - II (A) Electric field inside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R. (I) \(\sigma / \epsilon_0\) (B) Electric field at distance \(r >0\) from a uniformly charged infinite plane sheet with surface charge density \(\sigma\). (II) \(\sigma / 2 \epsilon_0\) (C) Electric field outside (distance \(r>0\) from center) of a uniformly charged spherical shell with surface charge density \(\sigma\), and radius R. (III) \(0\) (D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density \(\sigma\). (IV) \(\frac{\sigma R^2}{\epsilon_0 r^2}\) JEE Mains 2025 Medium - Drift speed of electrons, when \(1.5\, A\) of current flows in a copper wire of cross section \(5\, mm^2\), is \(v\). If the electron density in copper is \(9 \times 10^{28}\, m^3\) the value of \(v\) in \(mm/s\) is close to (Take charge of electron to be \(= 1.6 \times 10^{-19}\, C\))JEE Mains 2019 Medium
- \(\sigma\) is the uniform surface charge density of a thin spherical shell of radius \(R\). The electric field at any point on the surface of the spherical shell is _______.JEE Mains 2024 Hard
- A cube has side length \(5\) cm and modulus of rigidity \(10^5\) N/m\(^2\). The displacement produced by a force of \(10\) N in the upper face of cube is _____ mm.JEE Mains 2026 Medium
- Four identical solid spheres each of mass \('m'\) and radius \('a'\) are placed with their centres on the four corners of a square of side \('b'\). The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square isJEE Mains 2021 Hard
More PYQs from JEE Mains
- Car \(B\) overtakes another car \(A\) at a relative speed of \(40\, ms^{-1}\). How fast will the image of car \({B}\) appear to move in the mirror of focal length \(10\, cm\) fitted in car \({A}\), when the car \({B}\) is \(1.9\, m\) away from the car \({A}\) ? (In \(ms^{-1}\))JEE Mains 2021 Hard
- Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditionsJEE Mains 2023 Medium
- \(n\) identical waves each of intensity \(I_0\) interfere with each other. The ratio of maximum intensities if the interference is \((i)\) coherent and \((ii)\) incoherent is :JEE Mains 2013 Medium
- Let \([\lambda]\) be the greatest integer less than or equal to \(\lambda\). The set of all values of \(\lambda\) for which the system of linear equations \(x+y+z=4,3 x+2 y+5 z=3\) \(9 x+4 y+(28+[\lambda]) z=[\lambda]\) has a solution is:JEE Mains 2021 Hard
- Let the sum of the first three terms of an \(A. P,\) be \(39\) and the sum of its last four terms be \(178.\) If the first term of this \(A.P.\) is \(10,\) then the median of the \(A.P.\) isJEE Mains 2015 Hard
- Two tangents are drawn from the point \(\mathrm{P}(-1,1)\) to the circle \(\mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}-6 \mathrm{y}+6=0\). If these tangents touch the circle at points \(A\) and \(B\), and if \(D\) is a point on the circle such that length of the segments \(A B\) and \(A D\) are equal, then the area of the triangle \(A B D\) is eqaul to:JEE Mains 2021 Medium