The trajectory of projectile, projected from the ground is given by $y=x-\frac{x^2}{20}$. Where $x$ and $y$ are measured in meter. The maximum height attained by the projectile will be $...........\,m$

A projectile is given an initial velocity of $(\hat i + 2\hat j)\ ms^{-1}$, where $\hat i$ is along the ground and $\hat j$ is along the vertical. If $g = 10\ m/s^2$ , the equation of its trajectory is

The figure shows a velocity-time graph of a particle moving along a straight line  The maximum displacement of the particle is  ........ $m$

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

An observer moves with a constant speed along the line joining two stationary objects. He will observe that the two objects

The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position A are $(0,2)$. The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are