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 } $
$\frac{u}{2}\sqrt {2 + {{\cos }^2}\theta }$
$\frac{u}{2}\sqrt {1 + {{\cos }^2}\theta }$
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 .......... $km$. $(g = 10\,\,m/{s^2})$
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
A particle has initial velocity $(3\hat i + 4\hat j$$ ) $ and has acceleration $(0.4\,\hat i + 0.3\,\hat j)$ . Its speed after $10\,s$ is
A body slides down a frictionless track which ends in a circular loop of diameter $D$, then the minimum height $h$ of the body in term of $D$ so that it may just complete the loop, is
A particle is moving eastwards with velocity of $5\,m/s$. In $10 \,sec$ the velocity changes to $5 \,m/s$ northwards. The average acceleration in this time is