The distance of the track is 600 m
Explanation:
The two cars move by uniformly accelerated motion, so we the distance they cover after a time t is described by the following suvat equation
where
u is the initial velocity
a is the acceleration
For car 1, we have
where
is the initial velocity of car 1
is the acceleration of car 1
So the equation can be rewritten as
For car 2, we have
where
is the initial velocity of car 2
is the acceleration of car 2
So the equation can be rewritten as
The two cars finish the race at the same time: this means that they cover the same distance in the same time t, so we can write
And solving for t, we find
Which gives two solutions:
t = 0 (initial instant)
t = 40 s
Therefore, the distance of the track is
Learn more about accelerated motion:
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