Physics · 2019
JEE Main · 10 April 2019, Shift 1 · Q4
A ball is thrown upward with an initial velocity V_0 from the surface of the earth. The motion of the ball is affected by a drag force equal to m γ…
A ball is thrown upward with an initial velocity $\displaystyle \mathrm{V}_0$ from the surface of the earth. The motion of the ball is affected by a drag force equal to $\displaystyle \mathrm{m} \gamma v^2$ (where m is mass of the ball, $\displaystyle v$ is its instantaneous velocity and $\displaystyle \gamma$ is a constant). Time taken by the ball to rise to its zenith is :
Official answer
(3)
$\displaystyle \frac{1}{\sqrt{\gamma g}} \tan ^{-1}\left(\sqrt{\frac{\gamma}{g}} V_0\right)$
More from Newton's Laws of Motion
- Three masses m_1=4 kg, m_2=4 kg and m_3=6 kg are suspended from a fixed smooth frictionless pully as shown in the figure below. The value of T_1 /…2026
- The position vector of a particle related to time t is given by r=(10 t i+15 t^2 j+7 k) m The direction of net force experienced by the particle is:2023
- A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth…2022
- As shown in figure, a 70 kg garden roller is pushed with a force of F=200 N at an angle of 30° with horizontal. The normal reaction on the roller is…2023
- A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of 15 ms^-1. The impulse…2022
- The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is ____ m/s. Assume…2026
- Three blocks M_1, M_2, M_3 having masses 4 kg, 6 kg and 10 kg respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure.…2024
- A force F=(40 i+10 j) N acts on a body of mass 5 kg. If the body starts from rest, its position vector r at time t=10 s, will be:2021
JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.