4154

You visited us 4154 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Average Rate of Change

Two cyclist s...

Question

Two cyclist start from the junction of two perpendicular roads, their velocities being $3 v$ metres/minute and $4 v$ metres/minute . The rate at which the two cyclists are separating is

\frac{7}{2} v

m/min

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

5 v

m/min

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

v

m/min

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

none of these

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

Open in App

Solution

The correct option is B $5 v$ m/min
The cyclist will be separating along the vector sum of the perpendicular velocity vectors of the two cyclists, since their speeds are constant.
Hence they will be separating at the rate
$\sqrt{(3 v)^{2} + (4 v)^{2}} .$
$= 5 v m / m i n$

Suggest Corrections

Similar questions

Q. Two men

A

and

B

start with velocities

v

at the same time from the junction of two roads inclined at

45^{o}

to each other. If they travel by different roads, find the rate at which they are being separated.

Q. A thief runs with the uniform speed of 50m/min. After 2 minutes, a policemen runs after the thief to catch him. He goes with a speed of 60 metres in first minute and increase his speed by 5m/min every succeeding minute. After how many min the policemen will catch the thief.

Two men $P$ , and $Q$ start with velocities $v$ at the same time from the junction of two roads inclined at $45^{\circ}$ to each other. If they travel by different roads, the rate at which they are being separated, is

Q. There are two men

A

and

B

starts with same velocity

6 m / s

at same time from a junction of two roads inclined at

45^{\circ}

to each other. If they are travelling on different roads, then the absolute value of the rate(in

m / s

) at which they are separating is

3 \sqrt{a - b}

then

\frac{b^{2}}{a}

Q. Two cyclists are riding along a circular path. The first cyclist completes the round in

12

minutes, while the second cyclist completes the round in

18

minutes. If they both started at the same pace and at the same time and are riding in the same direction, after how many minutes will they meet again at the starting point?

Join BYJU'S Learning Program

Two cyclist start from the junction of two perpendicular roads, their velocities being 3v metres/minute and 4v metres/minute . The rate at which the two cyclists are separating is

The correct option is B 5v m/minThe cyclist will be separating along the vector sum of the perpendicular velocity vectors of the two cyclists, since their speeds are constant.Hence they will be separating at the rate √(3v)2+(4v)2.=5vm/min

Two cyclist start from the junction of two perpendicular roads, their velocities being $3 v$ metres/minute and $4 v$ metres/minute . The rate at which the two cyclists are separating is

The correct option is B $5 v$ m/min
The cyclist will be separating along the vector sum of the perpendicular velocity vectors of the two cyclists, since their speeds are constant.
Hence they will be separating at the rate
$\sqrt{(3 v)^{2} + (4 v)^{2}} .$
$= 5 v m / m i n$