The position of a particle moving in the $xy-$plane at any time $t$ is given by $x = (3{t^2} - 6t)$ metres, $y = ({t^2} - 2t)$ metres. Select the correct statement about the moving particle from the following
The acceleration of the particle is zero at $t = 0$ second
The velocity of the particle is zero at $t = 0$ second
The velocity of the particle is zero at $t = 1$ second
The velocity and acceleration of the particle are never zero
A particle is moving with velocity $\vec v = K(y\hat i + x\hat j)$ where $K$ is a constant. The general equation for its path 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?
A football is kicked into the air vertically upwards. What is its
$(a)$ acceleration and
$(b)$ velocity at the highest point ?
A body is moving with velocity $30\; m/s$ towards east. After $10$ seconds its velocity becomes $40\; m/s$ towards north. The average acceleration of the body is ...... $m/s^2$