A particle moves in a circle of radius $R$, with a constant speed $v$. Then, during a time interval $[\pi R/3v]$, which of the following is true?
| average acceleration | = $3v^2/\pi R$
| average velocity | = $3v/\pi$
| average acceleration | = $2v^2/\pi R$
Both $(A)$ and $(B)$
A particle starts from origin at $t=0$ with a velocity $5.0 \hat{ i }\; m / s$ and moves in $x-y$ plane under action of a force which produces a constant acceleration of $(3.0 \hat{ i }+2.0 \hat{ j })\; m / s ^{2} .$
$(a)$ What is the $y$ -coordinate of the particle at the instant its $x$ -coordinate is $84 \;m$ ?
$(b)$ What is the speed of the particle at this time?
A fighter plane is flying horizontally at an altitude of $1.5\, km$ with speed $720\, km/h$. At what angle of sight (w.r.t. horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target ?
The position of a particle moving along $x$-axis given by $x=\left(-2 t^3+3 t^2+5\right) m$. The acceleration of particle at the instant its velocity becomes zero is ....... $m / s ^2$
Particles $A$ and $B$ are moving with constant velocities along $x$ and $y$ axis respectively, the graph of separation between them with time is
An observer moves with a constant speed along the line joining two stationary objects. He will observe that the two objects