Home
Class 11
PHYSICS
A particle transversed half of the dista...

A particle transversed half of the distance with a velocity of V0. The remaining parts of the distance was covered with velocity `V_(l)`, for half of the time and with V2 for other half of the time. Find the mean velocity of the particle averaged and the whole time of motion.

Text Solution

Verified by Experts


Average velocity for the second half distance = `(v_(1)(t)/(2)+v_(2)(t)/(2))/((t)/(2)+(t)/(2))=(v_(1)+v_(2))/(2)`
Average velocity for the first half distance = `V_(0)` (`because` it is constant)
Average velocity for total path
`=(2v_(0)((v_(1)+v_(2))/(2)))/(v_(0)+(v_(1)+v_(2))/(2))=(2v_(0)(v_(1)+v_(2)))/(v_(1)+v_(2)+2v_(0))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle traversed half of the distance with a velocity of V_(0) .The remaining parts of the distance was covered with velocity V_(1) , for half of the time and with V_(2) for other half of the time .Find the mean velocity of the particle averahed and the whole time of motion .

A man traversed half the distance with a velocity v_(0) . The remaining part of the distance was covered with velocity v_(1) . For half the time and with velocity v_(2) for the other half of the time . Find the average speed of the man over the whole time of motion. .

A body travelling along a straight line traversed one third of the total distance with a velocity 4m/s. The remaining part of the distance was covered with a velocity 1 m/s for half the time and with velocity 3 m/s for the other half of time. The mean velocity averaged over the whole time of motion is :

A particle travels along a straight line. It covers halg the distance with a speed (v). The remaining part of the distance was covere with speed v_(1) for half the time and with speed v_(2) for the other half the time . Find the average speed of the particle over the entire motion.

A body travelling along a straight line , one thired of the total distance with a velocity 4 ms^(-1) . The remaining part of the distance was covered with a velocity 2 ms^(-1) for half the time and with velocity 6 ms^(-1) for the other half of time . What is the mean velocity averaged over te whle time of motin ?

A particle travels half the distance of a straight journey with a speed 5 m/s. The remaining part of the distance is covered with speed 6 m/s for half the remaining time, and with speed 4 m/s for the other half of the remaining time. The average speed of the particle is

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

A man runs along the straight road for half the distance with velocity v_(1) and the remaining half distance with velocity v_(2) . Then the average velocity is given by

A body covers one-third of the distance with a velocity v_(1) the second one-third of the distance with a velocity v_(2) , and the last one-third of the distance with a velocity v_(3) . The average velocity is:-