A student is running at her top speed of5.0 m/s to catch a bus, which is stopped at the bus stop. When the studentis still 40.0 m from the bus, it starts to pull away, moving with aconstant acceleration of 0.170 m/s2. Sketch an x-t graph for both the student and the bus. Take x = 0 at the initial position of the student.

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A student is running at her top speed of
5.0 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. Sketch an x-t graph for both the student and the bus. Take x = 0 at
the initial position of the student.

Expert Solution
Step 1

The displacement of the object s in time t with an initial velocity u and acceleration a is

s=ut+12at2

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