Two runners stat running simultaneously at the same initial speed of 8.0 m/s. One of the runners starts behind the other so they accelerate at a rate of 0.50 m/s². (a) If the runners start 50.0 m apart, how how much time (in seconds) from when they started does it take the accelerating runner to catch up? (b) How far from the accelerating runner's starting point (in meters) are the two runners when the accelerating runner catches up?
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.
![Two runners stat running simultaneously at the same initial speed of 8.0 m/s.
One of the runners starts behind the other so they accelerate at a rate of 0.50
m/s².
(a) If the runners start 50.0 m apart, how how much time (in seconds) from
when they started does it take the accelerating runner to catch up?
(b) How far from the accelerating runner's starting point (in meters) are the
two runners when the accelerating runner catches up?
Do round your answer to appropriate significant figures, but do not attempt to
include units or use scientific notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad30702-84f0-4133-bbd9-417f6473d850%2F0ba31834-2791-4ab1-a122-b3ce42e6714d%2F491z5pp_processed.jpeg&w=3840&q=75)
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