You are riding your bicycle to school. On your way to school, you undergo the following motions: • you accelerate from rest for 4.0 s at +1.0 m/s2 • then you coast (constant velocity) for 5.0 s at +4.0 m/s • then you slow down at -2.0 m/s2 for 2.0 s a) Draw the acceleration-time graph for your trip to school. Label your graph appropriately. b) Using your position-time graph, calculate the maximum velocity reached by your bicycle. Show all your work and answer to two significant digits. c) Using your velocity-time graph, calculate how far your bicycle travelled while braking. Show all your work and answer to two significant digits.
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 riding your bicycle to school. On your way to school, you
undergo the following motions:
• you accelerate from rest for 4.0 s at +1.0 m/s2
• then you coast (constant velocity) for 5.0 s at +4.0 m/s
• then you slow down at -2.0 m/s2 for 2.0 s
a) Draw the acceleration-time graph for your trip to school. Label your graph
appropriately.
b) Using your position-time graph, calculate the maximum velocity reached by your bicycle. Show all your work and answer to two significant digits.
c) Using your velocity-time graph, calculate how far your bicycle travelled
while braking. Show all your work and answer to two significant digits.
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