An alpha particle enters a hollow tube of $4 \,m$ length with an initial speed of $1 \,km/s$. It is accelerated in the tube and comes out of it with a speed of $9 km/s$. The time for which it remains inside the tube is
$8 \times {10^{ - 3}}$s
$80 \times {10^{ - 3}}s$
$800 \times {10^{ - 3}}s$
$8 \times {10^{ - 4}}s$
What is the relation between displacement, time and acceleration in case of a body having uniform acceleration
A rocket is moving in a gravity free space with a constant acceleration of $2 \ ms ^{-2}$ along $+x$ direction (see figure). The length of a chamber inside the rocket is $4 \ m$. A ball is thrown from the left end of the chamber in $+x$ direction with a speed of $0.3 \ ms ^{-1}$ relative to the rocket. At the same time, another ball is thrown in $-x$ direction with a speed of $0.2 \ ms ^{-1}$ from its right end relative to the rocket. The time in seconds when the two balls hit each other is:
A particle with initial velocity $v_0$ moves with constant acceleration in a straight line. Find the distance travelled in $n^{th}$ second.