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 begins to accelerate to the moment it overtakes the Aston Martin.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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 begins to accelerate to the moment it overtakes the Aston Martin.
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