Two cars start from rest at a red stop light. When the light turns green, both cars accelerate forward. The blue car accelerates uniformly at a rate of 3.7 m/s2 for 4.5 seconds. It then continues at a constant speed for 8.8 seconds, before applying the brakes such that the car’s speed decreases uniformly coming to rest 234.18 meters from where it started. The yellow car accelerates uniformly for the entire distance, finally catching the blue car just as the blue car comes to a stop. 1) How fast is the blue car going 2.2 seconds after it starts? 2) How fast is the blue car going 11 seconds after it starts? 3) How far does the blue car travel before its brakes are applied to slow down?
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.
1)
How fast is the blue car going 2.2 seconds after it starts?2)
How fast is the blue car going 11 seconds after it starts?3)
How far does the blue car travel before its brakes are applied to slow down?4)
What is the acceleration of the blue car once the brakes are applied?5)
What is the total time the blue car is moving?6)
What is the acceleration of the yellow car?![](/static/compass_v2/shared-icons/check-mark.png)
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