A train starts from rest with an
acceleration of 0.5 ms 2. Find its
speed in kmh, when it has
moved through 100 m. (36 kmh")
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Given that,
Acceleration a=−0.5m/s 2
Speed v=90km/h=25m/s
Using equation of motion,
v=u+at
Where,
v = final velocity
u = initial velocity
a = acceleration
t = time
Put the value into the equation
Finally train will be rest so, final velocity ,v=0
0=25−0.5t
25=0.5t
t=25/ 0.5
t=50 sec
Again, using equation of motion,
S=ut+ 1/2at^2
Where, s = distance
v = final velocity
u = initial velocity
a = acceleration
t = time
Put the value into the equation
Where S is distance travelled before stop
s=25×50− 1/2×0.5×(50) ^2
s=625 m
So, the train will go before it is brought to rest is 625 m.
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