AP EAMCET · PHYSICS · Motion In Two Dimensions
A particle is projected from the ground with an initial speed of \(v\) at an angle of projection \(\theta\). The average velocity of the particle between its time of projection and time it reaches highest point of trajectory is
- A \(\frac{v}{2} \sqrt{1+2 \cos ^2 \theta}\)
- B \(\frac{v}{2} \sqrt{1+2 \sin ^2 \theta}\)
- C \(\frac{v}{2} \sqrt{1+3 \cos ^2 \theta}\)
- D \(v \cos \theta\)
Answer & Solution
Correct Answer
(C) \(\frac{v}{2} \sqrt{1+3 \cos ^2 \theta}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { We know, average velocity }=\frac{\text { displacement }}{\text { time }} \\ & \qquad v_{\text {av }}=\frac{\sqrt{\mu^2+R^2 / 4}}{T / 2}\end{aligned}\) where, \(H=\) maximum height \(=\frac{v^2 \sin ^2 \theta}{2 g}\) Range…
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
- The maximum potential energy due to electrostatic repulsion between two hydrogen nucleus is nearly (radius of the nucleus Fermi)AP EAMCET 2018 Medium
- A hail stone of mass \(42 \mathrm{~g}\) falls from a height \(1.8 \mathrm{~km}\) and if its entire potential energy is converted into latent heat, the mass of the hail stone on reaching the ground is
\(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}, \mathrm{~L}_{\text {ice }}=3.36 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}\right)\)AP EAMCET 2017 Medium - If the magnitude of a vector \(\overrightarrow{\mathrm{p}}\) is 25 units and its y-component is 7 units, then its \(x\)-component isAP EAMCET 2025 Easy
- The metal which has the highest work function in the following isAP EAMCET 2022 Easy
- In a plane electromagnetic wave, the electric field oscillates with a frequency \(2 \times 10^{10} \mathrm{~s}^{-1}\) and amplitude \(40 \mathrm{Vm}^{-1}\), then the energy density due to electric field is \(\left(\varepsilon_0=8.85 \times 10^{-12} \mathrm{Fm}^{-1}\right)\)AP EAMCET 2018 Easy
- A ball of mass \(2 \mathrm{~g}\) moving with a velocity of \(2 \mathrm{~ms}^{-1}\) collides with another ball of mass \(8 \mathrm{~g}\) which is at rest and comes to rest after collission. Then the coefficient of restitution isAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- An earthquake generates both transverse \(S\) and longitudinal \(P\) waves in the earth with speeds \(4.5 \mathrm{~km} \mathrm{~s}^{-1}\) and \(8.0 \mathrm{~km} \mathrm{~s}^{-1}\), respectively. A seismograph records that the first \(P\)-wave arrives 3.5 minutes earlier than the first S-wave. From the seismograph, the epicentre of the earthquake is located at a distance.AP EAMCET 2019 Hard
- In a first order reaction, the concentration of the reactant is reduced from \(0.6 \mathrm{~mol} \mathrm{~L}^{-1}\) to \(0.2 \mathrm{~mol} \mathrm{~L}^{-1}\) in \(5 \mathrm{~min}\). What is the rate constant of the reaction? \((\log 3=0.4771)\)AP EAMCET 2012 Easy
- If a cubical die is thrown, then the mean and variance of the random variable \(\mathrm{X}\), giving the number on the face that shows up, are respectivelyAP EAMCET 2023 Easy
- Three Carnot engines operate in series between a heat source at temperature \(T_1\) and heat sink at a temperature \(T_4\). There are two other reservoirs at temperatures \(T_2\) and \(T_3\). The three engines are equally efficient, if (given that, \(\left.T_1>T_2>T_3>T_4\right)\)
AP EAMCET 2021 Hard - Assertion (A) : Transition elements have higher enthalpies of atomization.
Reason (R) : Large number of unpaired electrons present in transition elements facilitate strong interatomic interaction and strong bonding between atoms.AP EAMCET 2022 Easy - If the pairs of straight lines \(x^2-2 q x y-y^2=0\) and \(x^2-2 p x y-y^2=0\) bisect the angles between each other, then which of the following is correct?AP EAMCET 2020 Easy