Question

Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.

Answer 1

• Marti is the winner

Explanation:

Continuation of question:

• The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.
• Table is attached

Solution

Greg

• Speed = 13 ft/s
• Start point = 30.7 ft from start line after 2 seconds

Distance from start line after 10 seconds:

• 30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ft

Marti

• Speed = 16.5 ft/s
• Start point = 2 ft from start line

Distance from start line after 10 seconds:

• 2 + 10*16.5 = 2 + 165 = 167 ft

Comparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.