A student is running at her top speed of 5.00 m/s to catch a bus, which is stopped at the bus stop. When the student is still 40.0 m from the bus, it starts to pull away, moving with a constant acceleration of 0.170 m/s2 . (a) For how much time and what distance does the student have to run at 5.00 m/s before she overtakes the bus? (b) When she reaches the bus, how fast is the bus travelling? (c) If the student’s top speed is 3.50 m/s, will she catch the bus? (d) What is the minimum speed the student must have to just catch up with the bus? (e) For what time and what distance does she have to run in that case?
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.
A student is running at her top speed of 5.00 m/s to catch a bus, which is stopped at the bus
stop. When the student is still 40.0 m from the bus, it starts to pull away, moving with a
constant acceleration of 0.170 m/s2
. (a) For how much time and what distance does the student
have to run at 5.00 m/s before she overtakes the bus? (b) When she reaches the bus, how fast
is the bus travelling? (c) If the student’s top speed is 3.50 m/s, will she catch the bus? (d) What
is the minimum speed the student must have to just catch up with the bus? (e) For what time
and what distance does she have to run in that case?
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