A horse rider covers half the distance with $5\,m / s$ speed. The remaining part of the distance was travelled with speed $10\,m / s$ for half the time and with speed $15 m / s$ for other half of the time. The mean speed of the rider averaged over the whole time of motion is $\frac{x}{7}\,m / s$. The value of $x$ is
$25$
$20$
$26$
$50$
A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2\,v$.Its average speed 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 :-
Write relation between instantaneous and relative velocity for uniform motion.
A man walks on a straight road from his home to a market $2.5\; km$ away with a speed of $5 \;km h ^{-1} .$ Finding the market closed, he instantly turns and walks back home with a speed of $7.5 \;km h ^{-1} .$ What is the average speed of the man over the interval of time $0$ to $30\; min$ ?
A train starting from rest first accelerates uniformly up to a speed of $80 \mathrm{~km} / \mathrm{h}$ for time $t$, then it moves with a constant speed for time 3t. The average speed of the train for this duration of journey will be (in $\mathrm{km} / \mathrm{h}$ ) :