A particle moves with constant acceleration, let $v_1, v_2, v_3$ be the Average velocities in successive time interval $t_1, t_2$ and $t_3$ then
$\frac{{{v_1}\, - \,{v_2}}}{{{v_2}\, - \,{v_3}}}\, = \,\frac{{{t_1}\, - {t_2}}}{{{t_1}\, + \,{t_2}}}$
$\frac{{{v_1}\, - \,{v_2}}}{{{v_2}\, - \,{v_3}}}\, = \,\frac{{{t_1}\, - {t_2}}}{{{t_1}\, - \,{t_3}}}$
$\frac{{{v_1}\, - \,{v_2}}}{{{v_2}\, - \,{v_3}}}\, = \,\frac{{{t_1}\, + {t_2}}}{{{t_2}\, + \,{t_3}}}$
$\frac{{{v_1}\, - \,{v_2}}}{{{v_2}\, - \,{v_3}}}\, = \,\frac{{{t_1}\, - {t_2}}}{{{t_2}\, - \,{t_3}}}$
Let $v$ and a denote the velocity and acceleration respectively of a particle in the dimensional motion
A car starts from rest and travels with uniform acceleration $\alpha$ for some time and then with uniform retardation $\beta$ and comes to rest. If the total travel time of the car is $‘t’$, the maximum velocity attained by it is given by :-
A parachutist drops freely from an aeroplane for $10\,s$ before the parachute opens out. Then he descends with a net retardation of $2.5\, m/s^2$. If he bails out of the plane at a height of $2495\, m$ and $g = 10\, m/s^2$, hit velocity on reaching the ground will be .......$m/s$
A point moves with uniform acceleration and $v_1, v_2$ and $v_3$ denote the average velocities in the three successive intervals of time $t_1, t_2$ and $t_3$. Which of the following relations is correct?
The velocity of bullet is reduced from $200\; m / s$ to $100\; m / s$ while travelling through a wooden block of thickness of $10 \;cm$ . The retardation assuming to be uniform, will be ...........$\times {10^4}\, m/s^2$