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Sveta_85
10 days ago
9

Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Bot

h cars have a constant rate of change. Information about each of the cars during the race is shown below.

Mathematics
2 answers:
PIT_PIT [12.4K]10 days ago
8 0

Response:

  • Marti is declared the winner

Step-by-step explanation:

Continuation of question:

  • After 10 seconds, the race concluded. The winner is the racer farthest from the starting point. Which car deserves the title of winner? Use mathematical reasoning to support your conclusion.
  • Table is attached

Solution

Greg

  • Travel speed = 13 ft/s
  • Initial position = 30.7 ft from the starting point after 2 seconds
Distance from the starting point after 10 seconds:

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

Travel speed = 16.5 ft/s
  • Starting position = 2 ft from the beginning line
Distance from starting point after 10 seconds:

2 + 10*16.5 = 2 + 165 = 167 ft
  • In comparing the distances from the start line, 134.7 ft against 167 ft, Marti is further from the start line and is thus declared the winner.

AnnZ [12.3K]10 days ago
4 0

Response: Marti

Step-by-step explanation: Marti is the farthest as indicated, since Greg's vehicle covers 13 feet but after a duration of two seconds, he was positioned 30.7 feet from the starting line while Marti started 2 feet ahead; however, her vehicle accelerates more significantly: (16.5 > 13). Thus, calculating: Greg's position = 30.7 + 13 x 10 = 160.7 | Marti's position: 2 + 16.5 x 10 = 167, confirming Marti's victory in the race as she should be honored as the winner.

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