SOLUTION: a car starts from rest and accelerates at the rate 2 meter per second square to 50 km/h. can it make to pass through a distance of 150m in 13 sec.

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Question 887083: a car starts from rest and accelerates at the rate 2 meter per second square to 50 km/h. can it make to pass through a distance of 150m in 13 sec.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a car starts from rest and accelerates at the rate 2 meter per second square to 50 km/h. can it make to pass through a distance of 150m in 13 sec.
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50 km/hr = 50000/3600 m/sec = 125/9 m/sec
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v = a*t
t = (125/9)/2 = 125/18 seconds
t =~ 7 seconds
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s = at^2/2
s = 2*(125/18)^2/2
s = 15625/324 meters
s =~ 48.225 meters (distance to accelerate to 50 km/hr, in ~ 7 seconds)
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Moving at 125/9 m/sec for the remaining time:
s = v*t = (125/9)*6 = 83.333 meters
Total distance =~ 131.56 meters