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 car travels for a time $t$ with speed $v$ and then for an equal time $t$ with speed $3v$. What is the average speed of the car?

A particle moves along a semicircular path of radius 5 m in 10 seconds. What is the magnitude of its average velocity?

The motion of a particle is described by the equation $x = a + b{t^2}$, where a=15 cm and b=3 $cm/{s^2}$ Its instantaneous velocity at time 3 sec will be

The numerical ratio of displacement to the distance covered is always

Two trains are moving with equal speed in opposite directions along two parallel railway tracks.

If the wind is blowing with speed ‘u’ along the track so that the relative velocities of the trains with respect to the wind are in the ratio $1:2$ then the speed of each train must be

The co-ordinates of a body moving in a planet at any instant of time $t$ are $x = \alpha {t^2}$ and $y = \beta {t^2}$ The speed of the body is

An object moves with a constant speed in a circular path. Is its velocity constant?

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

The co-ordinates of a body moving in a planet at any instant of time $t$ are $x = \alpha {t^2}$ and $y = \beta {t^2}$ The speed of the body is

A particle moves for 20 seconds with velocity 3 m/s and then velocity 4 m/s for another 20 seconds and finally moves with velocity 5 m/s for next 20 seconds. What is the average velocity of the particle in m/s is