Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters.'
Answers
Given : Nina and Ryan each ran at a constant speed for a 100-meter race
Each runner’s distance for the same section of the race is displayed in graph and table
To Find : Who had a head start, and how big was the head start
Solution:
Nina Run from graph
T D
4 32
6 48
8 64
10 80
For every 2 Secs there is a distance of 16 m
Hence Speed = Slope = 16/2 = 8m /s
y - 32 = 8 (x - 4)
=> y = 8x
at x = 0 ( 0 time)
Distance = 0 m
Ryan Run from table
T D
4 35
6 47.5
8 60
12.5 m for ever 2 sec
Speed = slope = 12.5/2 = 25/4
y - 35 = (25/4)(x - 4)
=> 4y - 140 = 25x - 100
=> 4y = 25x + 40
at x = 0
=> y = 10
Hence Ryan had a head start of 10 m
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Answer:
[:::] Ryan
[:::] 10 meters
Step-by-step explanation:
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start?
...Ryan
...10