A car is traveling at a constant velocity of magnitude vo when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is d. A time treact after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied?
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.
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Learning Goal:
To practice Problem-Solving Strategy 2.1 for
constant acceleration problems.
Part C
A car is traveling at a constant velocity of
magnitude vo when the driver notices a garbage
can on the road in front of him. At that moment, the
distance between the garbage can and the front of
the car is d. A time treact after noticing the garbage
can, the driver applies the brakes and slows down
at a constant rate before coming to a halt just
before the garbage can. What is the magnitude of
the car's acceleration after the brakes are applied?
Find the magnitude of ar, the acceleration of the car after the brakes are applied.
Express your answer in terms of some or all of the variables d, treact, and vo.
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Explanation:
is the velocity
is the distance moved by the car while driver reacted and apply the brakes is
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