the body travels a distance $S_{1}$ with velocity $V_{1}$ and distance $S_{2}$ with velocity $V_{2}$ in same direction $.$ calculate the avg. velocity of the body $?$

\frac{V_{1} + V_{2}}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{V_{1} - V_{2}}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{(S_{1} + S_{2}) V_{1} V_{2}}{S_{1} V_{2} + S_{2} V_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{(S_{1} + S_{2})}{(\frac{S_{1}}{V_{1}} + \frac{S_{2}}{V_{2}})}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\frac{(S_{1} + S_{2})}{(\frac{S_{1}}{V_{1}} + \frac{S_{2}}{V_{2}})}$
Average velocity $= \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$
$= \frac{(S_{1} + S_{2})}{t_{1} + t_{2}}$
$= \frac{(S_{1} + S_{2})}{(\frac{S_{1}}{V_{1}} + \frac{S_{2}}{V_{2}})}$
Hence,
option $(D)$ is correct answer.

Suggest Corrections

Similar questions

Q. A body starting from rest is travelling on a straight road with constant non-zero acceleration. If the speeds after covering distances

S_{1}

and

S_{2}

V_{1}

and

V_{2}

respectively. If

V_{2} / V_{1} = 2

, then

S_{2} / S_{1} = N

. Find

N

In the circuit shown in the figure, reading of voltmeter is $V_{1}$ when only $S_{1}$ is closed, $V_{2}$ when only $S_{2}$ is closed and $V_{3}$ when both $S_{1}$ and $S_{2}$ are closed. Choose the correct relation between $V_{1}$ , $V_{2}$ and $V_{3}$ .

A person travels along a straight road for half the distance with velocity $v_{1}$ and the remaining half distance with velocity $v_{2}$ The average velocity is given by

Q. A particle travelling in a straight path in the same direction covers the first half of the distance with a velocity

v_{1}

and the second half of the distance with two different velocities

v_{2}

and

v_{3}

in equal intervals of time. The average velocity of the particle for the entire journey is

Q. A body travels the first half of the total distance with velocity

v_{1}

and the second half with velocity

v_{2}

. Calculate the average velocity.

Join BYJU'S Learning Program

the body travels a distance S1 with velocity V1 and distance S2 with velocity V2 in same direction. calculate the avg. velocity of the body?

The correct option is D (S1+S2)(S1V1+S2V2)Average velocity=TotaldisplacementTotaltime=(S1+S2)t1+t2=(S1+S2)(S1V1+S2V2)Hence,option (D) is correct answer.

the body travels a distance $S_{1}$ with velocity $V_{1}$ and distance $S_{2}$ with velocity $V_{2}$ in same direction $.$ calculate the avg. velocity of the body $?$