Amir starts riding his bike up a 200-m-long slope at a speed of 12 km/h, decelerating at 0.20 m/s as he goes up. At the same instant, Becky starts down from the top at a speed of 6.0 km/h, accelerating at 0.80 m/s? as she goes down. Part A How far has Amir ridden when they pass? Express your answer with the appropriate units.
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.
![Amir starts riding his bike up a 200-m-long slope at a speed of 12 km/h, decelerating at 0.20 m/s² as he goes up. At the same instant, Becky starts down from the top at a speed of 6.0 km/h, accelerating at 0.80 m/s?
as she goes down.
Part A
How far has Amir ridden when they pass?
Express your answer with the appropriate units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c9040b4-2e17-464d-80e5-d5452569a7cf%2Fc63a4517-d5e6-4c32-ae90-61cf2702e1ad%2F1q5x5mq_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Given data:
Length of ride (L) = 200 m
Speed of the bike (v) = 12 km/h
=12*5/18 = 3.33 m/s
De-acceleration of the bike (a) = -0.2 m/s2
Speed of the Becky starts from the top (V) = 6 km/h
= 6*5/18 = 1.67 m/s
The acceleration of Becky is (a) =0.8 m/s2
Need to determine the distance of Amir when they both pass to each other.
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