AP EAMCET · PHYSICS · Motion In Two Dimensions
A body is projected horizontally from the top of a tall tower with a velocity of \(30 \mathrm{~ms}^{-1}\). At time \(t_1\), its horizontal and vertical components of the velocity are equal and at time \(t_2\), its horizontal and vertical displacements are equal. Then \(t_2-t_1\) is (take, \(g=10 \mathrm{~ms}^{-2}\) )
- A \(1 \mathrm{~s}\)
- B \(1.5 \mathrm{~s}\)
- C \(2 \mathrm{~s}\)
- D \(3 \mathrm{~s}\)
Answer & Solution
Correct Answer
(D) \(3 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
As per first condition, \[ \begin{gathered} 30=10 t_1 \\ t_1=3 \mathrm{~s} \end{gathered} \] As per second condition, \[ \begin{aligned} 30 t_2 & =\frac{1}{2} \times 10 t_2^2=t_2=6 \mathrm{~s} \\ \therefore \quad t_2-t_1 & =3 \mathrm{~s} \end{aligned} \]
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
- An organ pipe \(P_1\), closed at one end and containing a gas of density \(\rho_1\) is vibrating in its first harmonic. Another organ pipe \(P_2\), open at both ends and containing a gas of density \(\rho_2\) is vibrating in its third harmonic. Both the pipes are in resonance with a given tuning fork. If the compressibility of gases is equal in both pipes, the ratio of the lengths of \(P_1\) and \(P_2\) is (assume the given gases to be monoatomic)AP EAMCET 2010 Easy
- The magnetic field at the centre of a current carrying circular coil of radius \(R\) is \(B_c\) and the magnetic field at a point on its axis at a distance \(R\) from its centre is \(B_a\). The value of \(\frac{B_c}{B_a}\) isAP EAMCET 2025 Medium
- A body is projected vertically upwards with a velocity of \(20 \mathrm{~m} \mathrm{~s}^{-1}\). If the potential energy of the body at a height of 5 m from the ground is 100 J, then the kinetic energy of the body at a height of 10 m from the ground is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium - The escape velocity of a body on the earth's surface is \(v_e\).A body is thrown up with a speed \(\sqrt{5} v_e\).Assuming that the sun and planets do not influence the motion of the body, velocity of the body at infinite distance, is :AP EAMCET 2004 Easy
- A plane electromagnetic wave of frequency \(25 \mathrm{MHz}\) travels in free space along the X-direction. At a particular point in space and time the electric field is \(\vec{E}=6.3 \hat{\mathrm{j} ~ V m}{ }^{-1}\). Then the magnetic field at that point isAP EAMCET 2017 Easy
- When current in a coil changes from 2 A to 5 A in a time of 0.3 s, if the emf induced in the coil is 40 mV, then the self inductance of the coil isAP EAMCET 2025 Easy
More PYQs from AP EAMCET
- If \(\mathrm{v}_1\) is the speed of sound in a diatomic gas at \(273{ }^{\circ} \mathrm{C}\) and \(\mathrm{v}_2\) is the r.m.s. speed of its molecules at \(273 \mathrm{~K}\), then \(\frac{\mathrm{v}_1}{\mathrm{v}_2}=\)AP EAMCET 2017 Easy
- Statement (A): When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases. Statement (B): Water does not wet an oily glass because cohesive force of oil is less than that of water. Statement (C) : A liquid will wet a surface of a solid if the angle of contact is greater than .AP EAMCET 2022 Easy
- If \(\frac{2 x^3+x^2-5}{x^4-25}=\frac{A x+B}{x^2-5}+\frac{C x+1}{x^2+5}\), then \((A, B, C)\) equals toAP EAMCET 2014 Medium
- If three distinct vertices are chosen at random from the vertices of a cube, then the probability that they form the vertices of an equilateral triangle, isAP EAMCET 2018 Medium
- How many multiples of 5 are there from 10 to 95 including both 10 and 95 ?AP EAMCET 2020 Easy
- A bullet of mass \(0.02 \mathrm{~kg}\) travelling horizontally with velocity \(250 \mathrm{~ms}^{-1}\) strikes a block of wood of mass \(0.23 \mathrm{~kg}\) which rests on a rough horizontal surface. After the impact, the block and bullet move together and come to rest after travelling a distance of \(40 \mathrm{~m}\). The coefficient of sliding friction of the rough surface is \(\left(g=9.8 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2009 Medium