A body is moving with variable acceleration $(a)$ along a straight line. The average acceleration of body in time interval $t_1$ to $t_2$ is
$\frac{a\left[t_2+t_1\right]}{2}$
$\frac{a\left[t_2-t_1\right]}{2}$
$\frac{\int \limits_1^{t_2} a d t}{t_2+t_1}$
$\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$
A car travels a distance of $x$ with speed $v_1$ and then same distance $x$ with speed $v_2$ in the same direction. The average speed of the car is
A body has speed $V, 2\,V$ and $3\,V$ in first $1/3$ of distance $S$, second $1/3$ of $S$ and third $1/3$ of $S$ respectively. Its average speed will be :-
A car is moving along a straight line, say $OP$ in given figure. It moves from $O$ to $P$ in $18\; s$ and returns from $P$ to $\mathrm{Q}$ in $6.0\; s$. What are the average velocity and average speed of the car in going from $O$ to $P$ and back to $Q?$
Between the two stations a train accelerates uniformly at first, then moves with constant velocity and finally retards uniformly. If the ratio of the time taken be $1 : 8 : 1$ and the maximum speed attained be $60\,km/h,$ then what is the average speed over the whole journey.......$km/h$
A motor cyclist travels a certain distance with a uniform speed of $30\, m/s$ and immediately turns back and returns to starting point with a uniform speed $20\, m/s$. Then the average speed of the motor cycle is ..........$m/s$ :-