Question

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 1.13 m/s.1.13 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.2.85 m/s. It takes you 14.5 s14.5 s to catch up and deliver the lost wallet. How far ahead of you was this person when you started running?

Answer 1

24.9 m

Step-by-step explanation:

The man in front of you is travelling at a speed of

`v_1 = 1.13 m/s`

After you pick up the wallet, you will be travelling at a constant speed of

`v_2 = 2.85 m/s`

So, the relative speed of you with respect to the man in front will be

`v=v_2 - v_1 = 2.85-1.13 = 1.72 m/s`

The time needed to cover the distance between you and man in front is

t = 14.5 s

Therefore, the distance between you and the man is:

`d=vt = (1.72)(14.5)=24.9 m`