Basic motion question involoving kinematics

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The discussion centers on a kinematics problem involving a car rolling backward and a person running towards it. The car moves at a velocity of 0.8 m/s, while the person runs at 7 m/s from a distance of 25 meters. The equations set up for the problem indicate that the distance covered by the person must equal the distance covered by the car plus the initial distance between them. Solving the equations reveals the time it takes for the person to reach the car. The focus is on applying kinematic principles to find the solution efficiently.
hunter45
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Hey everyone,

I have a question from a past exam paper that I was doing. I spent a lot of time trying to solve it, however I have failed.
I would appreiciate it if I got some assistance from a professional or someone that can answer it correctly.

Question:

A car is parked on the side of the road. The handbrake on the car partially fails causing it to roll backwards. The velocity of the car after it starts to move is 0.8 m/s.
The owner of the car is standing 25m in front of the car when they see it start to roll backwards. He runs at a velocity of 7 m/s. towards it. How long will it take for him to first reach the front of the car?
 
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In T seconds, man travels 7*T m which is same as distance traveled by car (0.8T) and additional 25 m.
D = 7T
d = 0.8T
D = 25 + d
 

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