A sprinter running a 100-meter race starts at rest, accelerates at constant acceleration with magnitude A for 2 seconds, and then runs at constant speed until the end. a) Find the position (relative to the start position) and speed of the runner at the end of the 2 seconds in terms of A. b) Assume that the runner takes a total of 10 seconds to run the 100 meters. Find the value of the acceleration A. You can leave your answer in terms of a fraction but clearly indicate the 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.
A sprinter running a 100-meter race starts at rest, accelerates at constant acceleration with
magnitude A for 2 seconds, and then runs at constant speed until the end.
a) Find the position (relative to the start position) and speed of the runner at the end of the 2
seconds in terms of A.
b) Assume that the runner takes a total of 10 seconds to run the 100 meters. Find the value of the acceleration A. You can leave your answer in terms of a fraction but clearly indicate the units.
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