An Aston Martin and a Bugatti are moving in the same direction along a perfectly straight part

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Question:

An Aston Martin and a Bugatti are moving in the same direction along a perfectly straight part of the Ehra-Lessien high-speed oval. The Aston Martin is ahead of the Bugatti and is traveling at a constant speed of $115.2 k m / h$ . The Bugatti is initially traveling at a speed of $97.2 k m / h$ but begins to accelerate at a constant acceleration of $1 m / s 2$ . The distance between the vehicles at the moment the Bugatti begins to accelerate is $600 m$ .

(i) Calculate the time, in seconds, it takes for the Bugatti to overtake the Aston Martin, from the moment the Bugatti begins to accelerate.

(ii) Calculate the speed, in $k m / h$ , of the Bugatti at the moment it overtakes the Aston Martin.

(iii) Calculate the distance, in meters, traveled by the Bugatti from the moment it begins to accelerate to the moment it overtakes the Aston Martin.

Constant Acceleration:

Constant acceleration is a change in velocity that does not alter over time, which shows that the velocity is constant. If the velocity increases, then the constant acceleration is positive and negative when the velocity decreases.