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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 70.0 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 70.0 m/s after a distance of 390 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed?

Question

In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straightaway at 70.0 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 70.0 m/s after a distance of 390 m. At this point how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed?

check_circleAnswer
Step 1

Find how far has the thunderbird fallen behind the Mercedes Benz.

Given information:

The Mercedes Benz is moving with a constant speed 70 m/s.

The initial speed of the thunder bird is 70 m/s. Thunder bird slows down to stop after covering a distance 250 m. The take rest for 5 s the accelerates to initial speed 70 m/s after covering a distance 350.

Step 2

Formula used:

Use third equation of motion to find the acceleration.

Use first equation of motion to find the time taken to travel.

Use second equation of motion to find the distance travelled.

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Step 3

Calculation:

First find the acceleration of the thunderbird for the first 250 m journey.

Next find the time taken to cover 250 m distance.

 

Use the same method to find the time the thunderbird spent to accelerates from...

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