# In the Daytona 500 auto race, a Ford Thunderbird and a MercedesBenz are moving side by side down a straightaway at71.5 m/s. The driver of the Thunderbird realizes that she mustmake a pit stop, and she smoothly slows to a stop over a distanceof 250 m. She spends 5.00 s in the pit and then accelerates out,reaching her previous speed of 71.5 m/s after a distance of 350m. At this point, how far has the Thunderbird fallen behind theMercedes Benz, which has continued at a constant speed?

Question
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In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes
Benz are moving side by side down a straightaway at
71.5 m/s. The driver of the Thunderbird realizes that she must
make a pit stop, and she smoothly slows to a stop over a distance
of 250 m. She spends 5.00 s in the pit and then accelerates out,
reaching her previous speed of 71.5 m/s after a distance of 350
m. At this point, how far has the Thunderbird fallen behind the
Mercedes Benz, which has continued at a constant speed?

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Step 1

Given:

Velocity of Ford Thunderbird = 71.5 m/s

Velocity of Mercedes Benz = 71.5 m/s

Step 2

Thunderbird stops over a distance of 250 m. After 5 s she again accelerates to regain its original velocity after covering a distance of 350 m. Deacceleration and acceleration for these can be calculated by using equations of motion.

Step 3

Time taken by her to...

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