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
$3$
$3 \sqrt{2}$
$5$
$5 \sqrt{3}$
A particle moves in a plane along an elliptic path given by $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. At point $(0, b)$, the $x$-component of velocity is $u$. The $y$-component of acceleration at this point is
The equation of a projectile is $y=a x-b x^2$. Its horizontal range is ......
The figure shows a velocity-time graph of a particle moving along a straight line The correct displacement-time graph of the particle is shown as
The figure shows a velocity-time graph of a particle moving along a straight line The total distance travelled by the particle is ........ $m$
A man moves in an open field such that after moving $10 \,m$ on a straight line, he makes a sharp turn of $60^{\circ}$ to his left. The total displacement just at the start of $8^{\text {th }}$ turn is equal to ........$m$