KCET · Physics · Motion In Two Dimensions
The trajectory of a projectile projected from origin is given by the equation \( y=x-\frac{2 x^{2}}{5} \). The initial velocity of the projectile is
- A \( 25 \mathrm{~ms}^{-1} \)
- B \( \frac{2}{5} \mathrm{~ms}^{-1} \)
- C \( \frac{5}{2} \mathrm{~ms}^{-1} \)
- D \( 5 \mathrm{~ms}^{-1} \)
Answer & Solution
Correct Answer
(D) \( 5 \mathrm{~ms}^{-1} \)
Step-by-step Solution
Detailed explanation
(D)
\(y=x-\frac{2 x^{2}}{5} \)
\( \tan \theta=1 \)
\( \theta=45^{\circ} \)
\( \frac{g}{2 u^{2} \cos ^{2} \theta}=\frac{2}{5} \)
\( \frac{10}{2 u^{2} \frac{1}{2}}=\frac{2}{5} \)
\( u^{2}=\frac{50}{2}=25 \)
\( u=5 m s^{-1}\)
\(y=x-\frac{2 x^{2}}{5} \)
\( \tan \theta=1 \)
\( \theta=45^{\circ} \)
\( \frac{g}{2 u^{2} \cos ^{2} \theta}=\frac{2}{5} \)
\( \frac{10}{2 u^{2} \frac{1}{2}}=\frac{2}{5} \)
\( u^{2}=\frac{50}{2}=25 \)
\( u=5 m s^{-1}\)
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
- To propagate both longitudinal and transverse waves, a material must haveKCET 2021 Easy
- Which of the following substances has the highest elasticity?KCET 2010 Easy
- If \( \vec{E}_{a x} \) and \( \vec{E}_{e q} \) represents electric field at a point on the axial and equatorial line of a dipole. If points are at a distance \( r \) from the centre of the dipole, for \( r>> \) aKCET 2016 Medium
- The angular speed of a motor wheel is increased from \(1200 \mathrm{rpm}\) to \(3120 \mathrm{rpm}\) in \(16 \mathrm{~s}\). The angular acceleration of the motor wheel isKCET 2022 Easy
- Two satellites of mass \(m\) and \(9 m\) are orbiting a planet in orbits of radius \(R\). Their periods of revolution will be in the ratio ofKCET 2011 Easy
- A horizontal pipe carries water in a streamlined flow. At a point along the pipe, where the cross-sectional area is \(10 \mathrm{~cm}^{-2}\), the velocity of water is \(1 \mathrm{~ms}^{-1}\) and the pressure is 2000 Pa . What is the pressure of water at another point where the cross-sectional area is \(5 \mathrm{~cm}^2\) ?
[Density of water \(=1000 \mathrm{kgm}^{-3}\) ]KCET 2025 Medium
More PYQs from KCET
- The function \(f(x)=\tan x-x\)KCET 2025 Easy
- The reaction quotient ' \( Q_{C}{ }^{\prime} \) is useful in predicting the direction of the reaction. Which of the
following is incorrect?KCET 2017 Medium - The voltage \(V\) and current \(I\) graph for a conductor at two different temperatures \(T_{1}\) and \(T_{2}\) and shown in the figure. The relation between \(T_{1}\) and \(T_{2}\) is
KCET 2011 Easy - The least and the greatest distances of the point \((10,7)\) from the circle
\[
x^{2}+y^{2}-4 x-2 y-20=0 \text { are }
\]KCET 2012 Medium - The pressure of real gases is less than that of ideal gas because ofKCET 2017 Easy
- The incorrect statement in respect of chromyl chloride test isKCET 2009 Easy