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You are walking down a straight path in a park and notice there is another person walking some distance ahead of you. The distance between the two of you remains the same, so you deduce that you are walking at the same speed of 1.09 m/s . Suddenly, you notice a wallet on the ground. You pick it up and realize it belongs to the person in front of you. To catch up, you start running at a speed of 2.85 m/s . It takes you 14.5 s to catch up and deliver the lost wallet. How far ahead of you was this person when you started running?

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Answer:

25.52 m

Explanation:

Relative speed between the person and I would be the difference of our speeds

[tex]v_r=2.85-1.09=1.76\ m/s[/tex]

Time taken by me to walk up to the person = 14.5 s

Distance is given by

[tex]Distance=Speed\times Time\\\Rightarrow s=vt\\\Rightarrow s=1.76\times 14.5\\\Rightarrow s=25.52\ m[/tex]

The person was 25.52 m ahead of me when I started running

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