A train starting trom rest attains a velocity
of 72 km/h in 5 minutes. Assuming that
the acceleration is uniform, find the
acceleration and the distance travelled by
the train to attain this velocity.
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Answer:
Given,
Initial velocity=u=0m/s
Final velocity=V=72km/h
Time=5min
We will convert minutes into hours.
=560h=112h
We have to find out acceleration:
We will denote acceleration by a and distance travelled by s.
Formula used:
a=v−u/t ⇒a=72−0/112⇒a=72×12= 864km/h^2
Hence the acceleration is 864km/h^2.
Now, the distance travelled by train:
Formula used:
s=ut+1/2at^2=0×1/12+1/2(864)(1/12)^2=1/2×864×1/144=3km
Hence, the distance travelled by train is 3km.
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