A car travels half the distance with a speed of $v_1$ and the other half with a speed of $v_2$. What is its average speed for the entire journey?

If a body covers first half of its journey with uniform speed ${V_1}$ and the second half of the journey with uniform speed ${V_2}$ then the average speed is

A train accelerates from rest at a constant rate α for distance ${x_1}$ and time ${t_1}$. After that it retards to rest at constant rate $\beta$ for distance ${x_2}$ and time ${t_2}$. Then it is found that

A person walks 6 km due east and then 8 km due north. What is the magnitude of their displacement from the starting point?

A man goes 10 m towards North, then 20 m towards east then displacement is

A car moves a distance 200 m. It covers first half of the distance at speed $60\,\,km{h^{ - 1}}$ and the second half at speed v. If the average speed is $40\,\,km{h^{ - 1}}$. The value of v is

A particle moves along a spiral path given by $r = at$, $heta = bt$, where $a$ and $b$ are constants and $t$ is time. What is the magnitude of average velocity from $t=0$ to $t=T$?

A particle moves along a semicircular path of radius $R$ in time $T$. If it returns to its starting point along the diameter in time $T/2$, what is the magnitude of the average velocity for the entire journey?

Two boys are standing at the ends A and B of a ground where AB=a. The boy at B starts running in a direction perpendicular to AB with velocity ${v_1}$. The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, when t is

A man goes 10 m towards North, then 20 m towards east then displacement is

An aeroplane files 400 m north and 300 m south and then files 1200 m upwards then net displacement is