Between two stations a train accelerates uniformly at first


Asked by admin @ in Physics viewed by 291 People


between two stations a train accelerates uniformly at first then moves with constant velocity and finally retards uniformly if the ratio of the time taken by 1 ratio 8 ratio 1 and the max speed attained be 60 kmph then what is the average speed over the whole journey

Answered by admin @



Let it accelerates with say ‘a’ in time ‘x’ then it reaches a velocity ‘v’ and continues motion for time ‘8x’ abd finally then retards with ‘b’ in time ‘x’.

v = 0 + ax

=> v = ax

=> 60 = ax

=> a = 60/x

And,

0 = v – bx

=> b = 60/x

Distance covered in time of acceleration,

S1 = 0 + ½ at2

=> S1 = ½ ax2 = ½ × 60/x × x2 = 30x

Distance covered while moving with constant velocity is,

S2 = vt = 60 × 8x = 480x

Distance covered in time of retardation,

02 = v2 - 2bS3

=> S3 = 602/(2 × 60/x)

=> S3 = 30x

So, total distance = 30x + 480x + 30x = 540x

Total time = x + 8x + x = 10x

So, average velocity = 540x/10x = 54 km/h


Similar Questions

Train two station

Asked by maham237 @ in Physics viewed by 383 persons

A train stops at two stations A and B. It accelerates from rest from station A to a speed of 144 km h^-1 in 3 minutes and maintains this speed …

Two trains leave a station at the same time

Asked by admin @ in Math viewed by 284 persons

Two trains leave a railway station at the same time. the first train travels due west and the second train due north . the first train travels 5 km/hr faster …

Two toy trains a and b run towards

Asked by admin @ in Math viewed by 2825 persons

Two toy trains, A and B run towards each other on a conveyor belt of length 2500m. The speed of trans 15 and pood What is the time taken by …

The first tidal energy station was built in

Asked by admin @ in Geography viewed by 277 persons

The first tidal energy station was built in which country

Two trains a and b of length 400m

Asked by admin @ in Physics viewed by 295 persons

Two trains A and B of length 400m each are moving on two parallel tracks with uniform speed of 72km/hr in the same direction with A ahead of B. The …

A uniform electric field exists between two charged plates

Asked by admin @ in Physics viewed by 335 persons

A uniform electric field E exists between two charged plates . What would be the work done in moving a charge q along the closed rectangular path ABCDA (rectangle is …

Two trains each having a speed of 30km h

Asked by admin @ in Physics viewed by 297 persons

Two trains each having a speed of 30 km/h are headed at each other on the same straight track. A bird that can fly at 60 km/h flies off from …

Two large parallel plane sheets have uniform charge densities

Asked by admin @ in Physics viewed by 315 persons

Two large parallel plane sheets have uniform charge densities +sigma and -sigma. Determine the electric field (1) between the sheets, and (2) outside the sheets.

Two trains are each 50 m long moving parallel

Asked by admin @ in Physics viewed by 309 persons

Two trains are each 50m long moving parallel towards each other at speeds 10m/s and 15m/s respectively, at what time will they pass each other

A train covered a certain distance at uniform speed

Asked by admin @ in Math viewed by 324 persons

A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …

Two ends of a train moving with constant acceleration

Asked by admin @ in Physics viewed by 333 persons

The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes …

Two uniform metal rods of length l1 and l2

Asked by admin @ in Physics viewed by 319 persons

Two uniform metal rods of length L1, and L2, and their linear coefficients of expansion alpha1 , and alpha 2. respectively, are connected to form a single rod of length …

Two trains a and b of length 400m each

Asked by admin @ in Physics viewed by 326 persons

Two trains A and B of length 400m each are moving on two parallel tracks with uniform speed of 72km/hr in the same direction with A ahead of B. The …

A train covered a distance at a uniform speed

Asked by admin @ in Math viewed by 368 persons

A train covered a certain distance at a uniform speed . if the train would have been 10 km / hr faster , if would have taken 2 hours less …

Distance between two stations a and b is 778

Asked by admin @ in Math viewed by 260 persons

Distance between two stations a and b is 778 km. a train covers the journey from a to b at 84 km per hour and returns back to a with …

Most viewed questions in Physics


Jeevandeep health and physical education std 10 answers pdf

Asked by admin @ in Physics viewed by 11078 persons


Hc verma physics class 9 solutions of describing motion

Asked by admin @ in Physics viewed by 2674 persons


How to leave nightmare land answer key

Asked by maham237 @ in Physics viewed by 1600 persons



Base area and stability of some objects with different shapes

Asked by admin @ in Physics viewed by 1535 persons


Which of the following statements about safe lifting are correct

Asked by admin @ in Physics viewed by 1519 persons


Porous water-absorbing mass of fibers

Asked by wiki @ in Physics viewed by 1500 persons



Absorption of water by filter paper is due to

Asked by admin @ in Physics viewed by 1441 persons


A composite wire of uniform diameter 3mm

Asked by admin @ in Physics viewed by 1408 persons


At a distance l 400m from the traffic light

Asked by admin @ in Physics viewed by 1343 persons



A rocket of mass m is launched straight up with thrust f⃗ thrust.

Asked by maham237 @ in Physics viewed by 1322 persons


Mind map for light reflection and refraction class 10

Asked by admin @ in Physics viewed by 1151 persons



A thief runs at a speed of 10m s

Asked by admin @ in Physics viewed by 1099 persons


A 5.8 x 10 4 watt elevator motor can lift

Asked by maham237 @ in Physics viewed by 1085 persons