Sam and Joe are on their bikes - Edexcel - GCSE Physics - Question 4 - 2014 - Paper 1

To calculate the distance Sam traveled, we must first analyze the velocity/time graph provided.

1. Identify Sam's velocity: From the graph, Sam travels at a constant velocity of 10 m/s after the 4 seconds.

   • Initial 4 seconds: Sam has already moved for 4 seconds at 10 m/s before Joe starts following him.

   • Distance covered in initial 4 seconds:

     $ext{Distance} = ext{Velocity} imes ext{Time} = 10 ext{ m/s} imes 4 ext{ s} = 40 ext{ m}$

2. Next 11 seconds: Sam continues to travel for an additional 11 seconds at 10 m/s.

   • Distance covered in next 11 seconds:

     $ext{Distance} = 10 ext{ m/s} imes 11 ext{ s} = 110 ext{ m}$

3. Total distance: Add the distances covered in both segments:

   $ext{Total Distance} = 40 ext{ m} + 110 ext{ m} = 150 ext{ m}$

Thus, Sam traveled a total distance of 150 m during the 15 seconds.