Average velocity of a particle is projectile motion between its starting point and the highest point of its trajectory is : (projection speed = $u$, angle of projection from horizontal= $\theta$)
$u\,\, cos\theta$
$\frac{u}{2}\sqrt {1 + 3{{\cos }^2}\theta } $
$\frac{u}{2}\sqrt {2 + {{\cos }^2}\theta }$
$\frac{u}{2}\sqrt {1 + {{\cos }^2}\theta }$
Two cars of masses $m_1$ & $m_2$ are moving along the circular paths of radius $r_1$ & $r_2$ respectively. Their speeds are such that they complete one round in same time. The ratio of angular speeds of two cars is
An aircraft executes a horizontal loop with a speed of $150 \,m/s$ with its, wings banked at an angle of ${12^o }$. The radius of the loop is .......... $km$. $(g = 10\,\,m/{s^2})$
Two seconds after projection a projectile is travelling in a direction inclined at $30^o$ to horizontal, after one more second it is travelling horizontally. What is the magnitude and direction of its velocity at initial point
A body of mass $1 \,kg$ is projected from ground at an angle $30^{\circ}$ with horizontal on a level ground at a speed $50 \,m / s$. The magnitude of change in momentum of the body during its flight is ....... $kg ms ^{-1}$ $\left(g=10 \,m / s ^2\right)$
The $x-t$ graph of a particle moving along a straight line is shown in figure The distance-time graph of the particle is correctly shown by