Gabriele enters an east-w straight bike path at the 3.0-km mark and rides w at a constant speed of 8.0 m/s. At the same time, Xena rides east from the1.0-km mark at a constant speed of 6.0 m/s.

asked by @pardisa1 • 11 months ago • Physics • 5 pts
  1. Write function x(t) that describe the position of Gabriele as a function of time with respect to Earth.

  2. Write function x(t) that describe the position of Xena as a function of time with respect to Earth.

  3. Where do they meet each other?

  4. Write a function x(t) that describes Xena's motion with respect to Gabriele.

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1 answer

I am choosing to define West as negative and East as positive. Also, we must convert km to m. 1. x(t)=-8t+3000 2. x(t)=6t+1000 3. -8t+3=6t+1--->14t=2000--->t=142.86s. This is the time it takes for them to meet. Plug that number back into either of the original position equations for the answer. 4. Xena begins 2000 m to the West of Gabriele, therefore x(t)=6t-2000.

answered by @juanv2 • 11 months ago