A ball is rolled off along the edge of a horizontal table with velocity $4 m/s$. It hits the ground after time $0.4 \,\,s$. Which of the following are correct?
The height of the table is $0.8 \,\,m$
It hits the ground with vertical velocity $4 \,\,m/s$
It covers a horizontal distance $1.6 \,\,m$ from the table
All of the above
Two particles are projected simultaneously in the same vertical plane, from the same point on ground, but with same speeds but at different angles $( < 90^o )$ to the horizontal. The path followed by one, as seen by the other, is
A $NCC$ parade is going at a uniform speed of $9\,km / h$ under a mango tree on which a monkey is sitting at a height of $19.6\,m$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is $...m$
(Given $g=9.8\,m / s ^{2}$ )
A car starts from rest and accelerates at $5 \,\mathrm{~m} / \mathrm{s}^{2}$. At $t=4 \mathrm{~s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $\mathrm{t}=6\, \mathrm{~s}$ ?
(Take g $\left.=10\, \mathrm{~m} / \mathrm{s}^{2}\right)$
The position vector of a particle $\vec R$ as a function of time is given by $\overrightarrow {\;R} = 4\sin \left( {2\pi t} \right)\hat i + 4\cos \left( {2\pi t} \right)\hat j$ where $R$ is in meters, $t$ is in seconds and $\hat i$ and $\hat j$ denote unit vectors along $x-$ and $y-$directions, respectively. Which one of the following statements is wrong for the motion of particle?
The length of second's hand in watch is $1 \,cm.$ The change in velocity of its tip in $15$ seconds is