Answer:
Distance covered by Chevy before catching up to the Ford = 800 meters
Explanation:
From the graph attached,
A Ford starts with a velocity = 15 meter per second
Therefore, slope of the line representing the relation between the distance and time = [tex]\frac{\triangle s}{\triangle t}[/tex] = Velocity
Let the equation of the blue line,
y = m₁t + b
Where m₁ = slope of the blue line = speed of a Chevy
= 20 meter per second
b = y-intercept
y = 20t + 0 [Since, Chevy starts from the origin, b = 0]
y = 20t
Let quation of the red line,
y = m₂t + b
Where m₂ = Slope of the red line = 15 meter per sec
b = y-intercept = 200 m [Since Ford is 200 meters ahead of Chevy]
y = 15t + 200
Point where these lines will meet or the point where both the cars meet.
20t = 15t + 200
5t = 200
t = 40 seconds
Distance traveled by Chevy in 40 seconds = Velocity × Time
= 20 × 40
= 800 meters per seconds
