a train starting from rest attains a velocity of 72 km/h in 5 min .Assuming that acceleration is unifrom find the acclerationa and distance
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Complete step-by-step answer:
Given,
Initial velocity
=u=0m/s=u=0m/s
Final velocity=V=72km/h=V=72km/h
Time=5min=5min
We will convert minutes into hours.
=560h=112h=560h=112h
We have to find out acceleration:
We will denote acceleration by a and distance travelled by s.
Formula used:
a=v−ut⇒a=72−0112⇒a=72×12=864km/h2a=v−ut⇒a=72−0112⇒a=72×12=864km/h2
Hence the acceleration is 864km/h2864km/h2.
Now, the distance travelled by train:
Formula used:
s=ut+12at2=0×112+12(864)(112)2=12×864×1144=3kms=ut+12at2=0×112+12(864)(112)2=12×864×1144=3km
Hence, the distance travelled by train is 3km.
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