Distance, Displacement & Average Speed

A student runs along a circular track of diameter $80$m. The distance travelled and the magnitude of displacement of the student when he covers $\left(\frac{3}{4}\right)^{\text{th}}$ of the circle is (in m)

A person travelling in a straight line moves with uniform velocity $V_1$ for a distance $x$ and with a uniform velocity $V_2$ for the next $\frac{3x}{2}$ distance. The average velocity in this motion is $\frac{50}{7}$ m/s. If $V_1$ is $5$ m/s then $V_2$ (in m/s) is

The minute hand of a wall-clock is $10$ cm long. The average velocity of the tip of the minute hand between $6.00$ am to $7.30$ am is

Consider a particle moving along a straight line, whose position as a function of time is given by $s(t) = \alpha t^2 - \beta t + \gamma$, where $\alpha = 1\text{ ms}^{-2}, \beta = 6\text{ ms}^{-1}$ and $\gamma = 5\text{ m}$. The average speed of the particle, in $\text{ms}^{-1}$ from $t = 0$ to $t = 6\text{ s}$ is:

A person travelling on a straight line moves with a uniform velocity $v_1$ for a distance $x$ and with a uniform velocity $v_2$ for the next $\frac{3}{2}x$ distance. The average velocity in this motion is $\frac{50}{7}\text{ m/s}$. If $v_1$ is $5\text{ m/s}$ then $v_2 =$ __________ $\text{m/s}$.

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed V and the remaining distance with speed $\frac{V}{3}$. Its average speed is

A particle moving in a straight line covers half the distance with speed $6\text{ m/s}$. The other half is covered in two equal time intervals with speeds $9\text{ m/s}$ and $15\text{ m/s}$ respectively. The average speed of the particle during the motion is:

A train starting from rest first accelerates uniformly up to a speed of $80\text{ km/h}$ 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 $\text{km/h}$):

A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2v$. Its average speed is:

A person travels $x$ distance with velocity $v_1$ and then $x$ distance with velocity $v_2$ in the same direction. The average velocity of the person is $v$, then the relation between $v, v_1$ and $v_2$ will be.

A vehicle travels $4\text{ km}$ with speed of $3\text{ km/h}$ and another $4\text{ km}$ with speed of $5\text{ km/h}$, then its average speed is

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:

An object moves with speed $v_1, v_2$ and $v_3$ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3AB, then average speed of the object will be:

A horse rider covers half the distance with $5\text{ m/s}$ speed. The remaining part of the distance was travelled with speed $10\text{ m/s}$ for half the time and with speed $15\text{ m/s}$ for other half of the time. The mean speed of the rider averaged over the whole time of motion is $\frac{x}{7}\text{ m/s}$. The value of $x$ is ___________.

A car covers AB distance with first one-third at velocity v1 ms${}^{-1}$, second one-third at v2 ms${}^{-1}$ and last one-third at v3 ms${}^{-1}$. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms${}^{-1}$ then the average velocity of the car is _____________ ms______1.

A person travelling in a straight line moves with a constant velocity $v_1$ for certain distance '$x$' and with a constant velocity $v_2$ for next equal distance. The average velocity $v$ is given by the relation

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $\vec{E}$. Due to the force q$\vec{E}$, its velocity increases from 0 to 6 m s–1 in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively

A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is

A car moves from X to Y with a uniform speed vu and returns to X with a uniform speed vd. The average speed for this round trip is

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and the second half of distance at speed $v$. The average speed is 48 km/h. The value of $v$ is

A bus travelling the first one-third distance at a speed of 10 km/h, the next one-third at 20 km/h and at last one-third at 60 km/h. The average speed of the bus is

A car covers the first half of the distance between two places at 40 km/h and another half at 60 km/h. The average speed of the car is