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 travelling at a constant speed of 115.2 km/h. The Bugatti is initially travelling at a speed of 97.2 km/h but begins to accelerate at a constant acceleration of 1 m/s?. The distance between the vehicles at the moment the Bugatti begins to accelerate is 600m. (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 km/h, of the Bugatti at the moment it overtakes the Aston Martin. (iii) Calculate the distance, in metres, travelled by the Bugatti from the moment it be- gins to accelerate to the moment it overtakes the Aston Martin.

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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 travelling at a constant speed of 115.2 km/h. The Bugatti is initially
travelling at a speed of 97.2 km/h but begins to accelerate at a constant acceleration of 1
m/s². The distance between the vehicles at the moment the Bugatti begins to accelerate
is 600m.
(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 km/h, of the Bugatti at the moment it overtakes the Aston
Martin.
(iii) Calculate the distance, in metres, travelled by the Bugatti from the moment it be-
gins to accelerate to the moment it overtakes the Aston Martin.
Transcribed Image Text: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 travelling at a constant speed of 115.2 km/h. The Bugatti is initially travelling at a speed of 97.2 km/h but begins to accelerate at a constant acceleration of 1 m/s². The distance between the vehicles at the moment the Bugatti begins to accelerate is 600m. (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 km/h, of the Bugatti at the moment it overtakes the Aston Martin. (iii) Calculate the distance, in metres, travelled by the Bugatti from the moment it be- gins to accelerate to the moment it overtakes the Aston Martin.
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