AP EAMCET · PHYSICS · Motion In Two Dimensions
A car is moving with a velocity of \(4 \mathrm{~m} \mathrm{~s}^{-1}\) towards east. After a time of 4 s, if it is heading north-east with a velocity of \(4 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1}\), then the average velocity of the car is
- A \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
- B \(3 \sqrt{5} \mathrm{~ms}^{-1}\)
- C \(4 \sqrt{3} \mathrm{~ms}^{-1}\)
- D \(5 \sqrt{3} \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(A) \(2 \sqrt{5} \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
\(\vec{v}_{i} = 4 \hat{i} \mathrm{~m} \mathrm{~s}^{-1}\) \(\vec{v}_{f} = 4\sqrt{2} \cos 45^\circ \hat{i} + 4\sqrt{2} \sin 45^\circ \hat{j} = 4 \hat{i} + 4 \hat{j} \mathrm{~m} \mathrm{~s}^{-1}\) \(\vec{v}_{avg} = \frac{\vec{v}_{i} + \vec{v}_{f}}{2}\)…
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
- A string of length ' \(L\) ' is stretched by \(\frac{L}{20}\) and the speed of transverse waves along it is ' \(v\) '. The speed of wave when it is stretched by \(\frac{\mathrm{L}}{10}\) will be (assume that Hooke's law is applicable)AP EAMCET 2023 Medium
- The induced emf cannot be produced by:AP EAMCET 2021 Easy
- \(50 \mathrm{~g}\) of copper is heated to increase its temperature by \(10^{\circ} \mathrm{C}\). If the same quantity of heat is given to \(10 \mathrm{~g}\) of water, the rise in temperature is (specific heat of \(\mathrm{Cu}=420 \mathrm{Jkg}^{-10} \mathrm{C}^{-1}\) and specific heat of water is \(4200 \mathrm{Jkg}^{-10} \mathrm{C}^{-1}\) )AP EAMCET 2021 Medium
- A body is moving with a uniform speed of \(20 \mathrm{~ms}^{-1}\) on a horizontal circle. The change in velocity of the body in half revolution isAP EAMCET 2023 Easy
- The electric field and magnetic field of an electromagnetic wave passing through vacuum are given by
Then the correct statement among the following isAP EAMCET 2022 Hard - A book is lying on a table. What is the angle between the normal reaction acting on the book on the table and the weight of the book?AP EAMCET 2021 Easy
More PYQs from AP EAMCET
- The mass defect in a particular nuclear reaction is \(0.3 \mathrm{~g}\). The amount of energy liberated in kilowatt hour is :
(Velocity of light \(=3 \times 10^8\) )AP EAMCET 2003 Easy - The probability distribution of a random variable \(X\) is given by
\begin{array}{l|r|r|r|r|c}
\hlineX=X & 0 & 1 & 2 & 3 & 4 \\
\hlineP(X=x) & 0.4 & 0.3 & 0.1 & 0.1 & 0.1 \\
\hline
\end{array}
The variance of \(X\) isAP EAMCET 2007 Easy - A voltmeter of resistance \(R\) is to be used to measure the potential difference across a resistance ' \(r\) '. In which case the reading will be nearest to that in the absence of voltmeter?AP EAMCET 2020 Medium
- The number of electric lines that emerge from a finite charge is _____AP EAMCET 2020 Easy
- For a non-zero real number \(x\), if the points with position vectors
\((x-u) \hat{\mathbf{i}}+x \hat{\mathbf{j}}+x \hat{\mathbf{k}}, x \hat{\mathbf{i}}+(x-v) \hat{\mathbf{j}}+x \hat{\mathbf{k}}\),
\(x \hat{\mathbf{i}}+x \hat{\mathbf{j}}+(x-w) \hat{\mathbf{k}}\) and
\((x-1) \hat{\mathbf{i}}+(x-1) \hat{\mathbf{j}}+(x-1) \hat{\mathbf{k}}\) are coplanar, thenAP EAMCET 2019 Easy - The refractive index of the material of a double convex lens is 1.5 and its focal length is \(5 \mathrm{~cm}\). If the radii of curvature are equal, the value of the radius of curvature (in \(\mathrm{cm}\) ) isAP EAMCET 2007 Medium