1.

train A B and C starts from station all trains moves with same speed for a certain time after sometime train C slows down and finally stops train A continues to move with the same speed however train B continuous to move with an increase speed create a single graph which represents the motion of a train se train B and train C? ​

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11th

Physics

Motion in a Straight Line

Speed and Velocity

A train starts from rest an...

PHYSICS

A train starts from rest and moves with a constant acceleration for the first 1km. For the next 3 km, it has a constant velocity and for LAST 2 km, it moves with constant retardation to come to rest after a total time of motion of 10 min. Find the maximum velocity and the three time intervals in the three types of motion.

December 26, 2019

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Aayush Vishwavani

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ANSWER

Suppose the velocity of the train increases from 0 to V in time t

1

, then moves with constant speed v upto time t

2

and finally its velocity decreases from v to 0 between time interval t

2

and t.

For motion between t=0 and t=t

1

let acceleration be alpha.

Then, α=

(t

1

−0)

(v−0)

=

t

1

v

⇒t

1

=vα

Similarly,

For retardation β

β=

(t−t

2

)

(v−0)

=

(t−t

2

)

v

⇒t−t

2

=

β

v

⇒t

1

+t−t

2

=

β

v

+

α

v

⇒t

2

−t

1

=t−v(

α

1

+

β

1

)

Now, for total displacement S=1+3+2=6km, and total time taken

t=10min=

6

1

h

We have.

S=

2

v.t

1

+v(t

2

−t

1

)+v

2

(t−t

2

)

S=

v

2

+v[t−v[

α

1

+

β

1

]]+

v

2

v

S

=v[v[

α

1

+

β

1

]2+t−v(

α

1

+

β

1

)]

t=

v

s

+

2

v(

α

1

+

β

1

)

Explanation:

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