A drag racer is doing a 1,159 m long racer.  The racer starts from rest and accelerates at 32.6 m/s2.  After 27 percent of the race distance is complete, the driver shifts gears and thereafter accelerates at 13.6 m/s2.  What is the speed of the racer, in m/s, when it crosses the finish line? (Please answer to the fourth decimal place - i.e 13.4567)

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A drag racer is doing a 1,159 m long racer.  The racer starts from rest and accelerates at 32.6 m/s2.  After 27 percent of the race distance is complete, the driver shifts gears and thereafter accelerates at 13.6 m/s2.  What is the speed of the racer, in m/s, when it crosses the finish line? (Please answer to the fourth decimal place - i.e 13.4567)

Expert Solution
Step 1

Given information:

The total distance covered by the racer, d=1159 m

The initial velocity of the racer, u=0

First acceleration of the racer, a1=32.6 m/s2

The second acceleration is, a2=13.6 m/s2

The distance covered by the racer with this acceleration, s=27% of 1159s=312.93 m

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