The coordinates of a moving particle at any time are given by $x = a{t^2}$ and $y = b{t^2}$. The speed of the particle at any moment is
$2t(a + b)$
$2t\sqrt {({a^2} - {b^2})} $
$t\,\sqrt {{a^2} + {b^2}} $
$2t\sqrt {({a^2} + {b^2})} $
A particle moves from the point $\left( {2.0\hat i + 4.0\hat j} \right)\,m$, at $t = 0$ with an initial velocity $\left( {5.0\hat i + 4.0\hat j} \right)\,m{s^{ - 1 }}$. It is acted upon by a constant force which produces a constant acceleration $\left( {4.0\hat i + 4.0\hat j} \right)\,m{s^{ - 2}}$. What is the distance of the particle from the origin at time $2\,s$
In the figure shown, the two projectiles are fired simultaneously. The minimum distance between them during their flight is ........ $m$
A particle $(A)$ is dropped from a height and another particle $(B)$ is thrown in horizontal direction with speed of $5\; m/sec$ from the same height. The correct statement is
The displacement of a particle from a point having position vector $2 \hat{i}+4 \hat{j}$ to another point having position vector $5 \hat{i}+1 \hat{j}$ is ........ units