JEE Mains · Physics · STD 11 - 3.2 motion in plane
A particle starts from the origin at \(\mathrm{t}=0\) with an initial velocity of \(3.0 \hat{\mathrm{i}} \;\mathrm{m} / \mathrm{s}\) and moves in the \(x-y\) plane with a constant acceleration \((6.0 \hat{\mathrm{i}}+4.0 \hat{\mathrm{j}}) \;\mathrm{m} / \mathrm{s}^{2} .\) The \(\mathrm{x}\) -coordinate of the particle at the instant when its \(y-\)coordinate is \(32\;\mathrm{m}\) is \(D\) meters. The value of \(D\) is
- A \(50\)
- B \(32\)
- C \(60\)
- D \(40\)
Answer & Solution
Correct Answer
(C) \(60\)
Step-by-step Solution
Detailed explanation
\(\mathrm{x}=\mathrm{u}_{\mathrm{x}} \mathrm{t}+\frac{1}{2} \mathrm{a}_{\mathrm{x}} \mathrm{t}^{2}\) \(\mathrm{y}=\mathrm{u}_{\mathrm{y}} \mathrm{t}+\frac{1}{2} \mathrm{a}_{\mathrm{y}} \mathrm{t}^{2}\) \(32=0 \times t+\frac{1}{2}(4)(t)^{2}\) \(t^{2}=16\) \(t=4 \mathrm{sec}\)…
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
- Two identical electric point dipoles have dipole moments \(\overrightarrow{p}_{1}= p\hat i\) and \(\overrightarrow{p}_{2}=- p\hat i\) and are held on the \(x-\)axis at distance \('a'\) from each other. When released, they move along the \(x-\)axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is \('m',\) their speed when they arc infinitely far apart isJEE Mains 2020 Medium
- The length of a metallic wire is increased by \(20 \%\) and its area of cross section is reduced by \(4 \%\). The percentage change in resistance of the metallic wire is \(.......\)JEE Mains 2023 Medium
- In a metre-bridge when a resistance in the left gap is \(2\ \Omega\) and unknown resistance in the right gap, the balance length is found to be \(40\ \mathrm{cm}\). On shunting the unknown resistance with \(2\ \Omega\), the balance length changes by _______.JEE Mains 2024 Hard
- Given below are two statements. Statement \(I\) : Electric potential is constant within and at the surface of each conductor. Statement \(II\) : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point. In the light of the above statements, choose the most appropriate answer from the options give below.JEE Mains 2022 Medium
- As shown in figure, a \(70\,kg\) garden roller is pushed with a force of \(\overrightarrow{ F }=200\,N\) at an angle of \(30^{\circ}\) with horizontal. The normal reaction on the roller is \(.......\,N\) \(\left(\right.\) Given \(\left.g =10\,m s ^{-2}\right)\)
JEE Mains 2023 Medium - Hysteresis loops for two magnetic materials \(A\) and \(B\) are given below These materials are used to make magnets for elecric generators, transformer core and electromagnet core. Then it is proper to use
JEE Mains 2016 Easy
More PYQs from JEE Mains
- Let \(\vec a = 2\hat i + \hat j - 2\hat k,\vec b = \hat i + \hat j\). If \(\vec c\) is a vector such that \(\vec a.\vec c = \left| {\vec c} \right|,\left| {\vec c - \vec a} \right| = 2\sqrt 2 \) and the angle between \(\vec a \times \vec b\) and \(\vec c\) is \(30^o\), then \(\left| {\left( {\vec a \times \vec b} \right) \times \vec c} \right|\) equalsJEE Mains 2013 Hard
- Given below are two statement Statement \(-I\) : What \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left( P _{1}, V _{1}, T _{1}\right)\) to state \(\left( P _{2}, V _{2}, T _{2}\right)\), the work done is \(W =\frac{1 R \left( T _{2}- T _{1}\right)}{1-\gamma}\), where \(\gamma=\frac{ C _{ P }}{ C _{ V }}\) and \(R =\) universal gas constant, Statement \(-II\) : In the above case. when work is done on the gas. the temperature of the gas would rise. Choose the correct answer from the options given belowJEE Mains 2022 Medium
- Let \(C_1\) and \(C_2\) be the centres of the circles \(x^2 + y^2 -2x -2y -2 = 0\) and \(x^2 + y^2 - 6x-6y + 14 = 0\) respectively. If \(P\) and \(Q\) are the points of intersection of these circles, then the area (in sq. units) of the quadrilateral \(PC_1QC_2\) is ............. \(\mathrm{sq. \, units}\)JEE Mains 2019 Hard
- Let \(\quad S=\left\{z \in C-\{i, 2 i\}: \frac{z^2+8 i z-15}{z^2-3 i z-2} \in R \right\}\). \(\alpha-\frac{13}{11} i \in S , \alpha \in R -\{0\}\), then \(242 \alpha^2\) is equal toJEE Mains 2023 Hard
- Let \(\alpha \beta \gamma=45 ; \alpha, \beta, \gamma \in R\). If \(x(\alpha, 1,2)+y(1, \beta, 2)\) \(+z(2,3, \gamma)=(0,0,0)\) for some \(x, y, z \in R, x y z \neq\) 0 , then \(6 \alpha+4 \beta+\gamma\) is equal to ..............JEE Mains 2024 Hard
- A light ray emerging from the point source placed at \(P( 1, 3)\) is reflected at a point \(Q\) in the axis of \(x\). If the reflected ray passes through the point \(R\) (\(6, 7)\), then the abscissa of \(Q\) isJEE Mains 2013 Hard