A man moves in $x-y$ plane along the path shown. At what point is his average velocity vector in the same direction as his instantaneous velocity vector. The man starts from point $P$.
$A$
$B$
$C$
$D$
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
Which two motions are considered to be combined for motion in plane ?
A person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?
A particle moves in the $xy$ -plane with velocity $u_x = 8t -2$ and $u_y = 2$. If it passes through the point $(14, 4)$ at $t = 2\, s$, the equation of its path is
The graph of position $x$ versus time $t$ represents the motion of a particle. If $b$ and $c$ are both positive constants, which of the following expressions best describes the acceleration $a$ of the particle?