A train starts from rest and accelerates uniformly for 20 sec to attain a velocity of 90km/h.Find its acceleration
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The initial velocity of the train(u)= 0km/h(train starts at rest)
The final velocity of the train= 90km/h
time its take to accelerate = 20sec = 20/3600
= 1/180 h
the acceleration takes place
=( v - u )/t
= (90-0) / (1/180)
= 90 ×180
= 16200km/h²
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Answer:
Explanation:
Given :-
Initial velocity of train, u = 0 (As train starts from rest)
Final velocity of train, v = 90 km/h = 90 × 5/18 = 25 km/h
Time taken by train, t = 20 seconds
To Find :-
Acceleration by train, a = ??
Formula to be used :-
1st equation of motion, i.e,
v = u + at
Solution :-
Putting all the values, we get
v = u + at
⇒ 25 = 0 + a × 20
⇒ 25 = 20a
⇒ 25/20 = a
⇒ a = 1.25 m/s²
Hence, the acceleration by train is 1.25 m/s².
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