You are driving at a constant velocity of magnitude v0 when you notice a garbage can on the road in front of you. At that moment, the distance between the garbage can and the front of the car is d. A time t after noticing the garbage can, you apply the brakes and slow down at a constant rate before coming to a halt just before the garbage can. A) Which of these diagrams is the correct pictorial representation of the problem? Explain! B)Which graph correctly represents the situation described in this problem? Explain! C)Find the magnitude of ax, the acceleration of the car after the brakes are applied, in terms of the variables d, t, and v0.
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.
You are driving at a constant velocity of magnitude v0 when you notice a garbage
can on the road in front of you. At that moment, the distance between the garbage can and the
front of the car is d. A time t after noticing the garbage can, you apply the brakes and slow down
at a constant rate before coming to a halt just before the garbage can.
A) Which of these diagrams is the correct pictorial representation of the problem? Explain!
B)Which graph correctly represents the situation described in this problem? Explain!
C)Find the magnitude of ax, the acceleration of the car after the brakes are applied, in terms of
the variables d, t, and v0.
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