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## Luna and Angela are competitors in a running competition. Both are leading the race and enter at the same time the last 30 meters. Angela en

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Luna and Angela are competitors in a running competition. Both are leading the race and enter at the same time the last 30 meters. Angela enters the final segment runnning at 4 m/s and “applies” an acceleration of 2 m/s2 while Luna enters the final segment at 3m/s but “applies ” an acceleration of 3 m/s2. (a) Who finishes the race first? (Do the calculations) (b) Who is running faster at the end of the race?

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Physics
3 years
2021-08-26T10:01:46+00:00
2021-08-26T10:01:46+00:00 1 Answers
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## Answers ( )

Answer:(a) Luna

(b) Luna

Explanation:(b)The final speed can be found by using the third equation of motion:

where,

a = acceleration

s = distance covered

vf = final speed

vi = initial speed

For Angela:

a = 2 m/s²

s = 30 m

vi = 4 m/s

vf = v_fa

therefore,

For Luna:

a = 3 m/s²

s = 30 m

vi = 3 m/s

vf = v_fl

therefore,

Therefore,will be running faster at the end of the race.

Luna(b)To calculate the time of completion we will use the first equation of motion:

FOR ANGELA:

FOR LUNA:

Hence,

finishes the race first.LUNA