In a women's 100-m race, accelerating uniformly, Laura takes 2.22 s and Healan 3.32 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s. (a) What is the acceleration of each sprinter? aLaura = m/s2 aHealan = m/s2 (b) What are their respective maximum speeds vLaura,max = m/s vHealan,max = m/s (c) Which sprinter is ahead at the 6.45-s mark, and by how much? ---Select--- Laura Healan is ahead by m.
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.
In a women's 100-m race, accelerating uniformly, Laura takes 2.22 s and Healan 3.32 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s.
| aLaura | = m/s2 |
| aHealan | = m/s2 |
(b) What are their respective maximum speeds
| vLaura,max | = m/s |
| vHealan,max | = m/s |
(c) Which sprinter is ahead at the 6.45-s mark, and by how much?
(d) What is the maximum distance by which Healan is behind Laura?
m
At what time does that occur?
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