The maximum range of a bullet fired from a toy pistol mounted on a car at rest is $R_0= 10\, m$. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity $v = 20\, m/s$, on a horizontal surface ......... $^o.$ $(g = 10\, m/s^2)$
$30$
$60$
$75$
$45$
A boy is moving with a constant speed $v$ on a small trolley towards a distant circle as shown in the figure. A point mass is moving on the circle with a constant speed $v$, what is the frequency of change in magnitude of relative velocity of the point mass, as observed by the boy.
The figure shows the velocity $(v)$ of a particle plotted against time $(t)$
Find the speed of the intersection point $O$ of the two wires if the wires starts moving perpendicular to itself with speed $v$ as shown in figure.
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
A car travels $6\, km$ towards north at an angle of $45^o$ to the east and then travels distance of $4\, km$ towards north at an angle $135^o$ to east. How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?