Cheetahs can accelerate to a speed of 21.8 m/s21.8 m/s in 2.55 s2.55 s and can continue to accelerate to reach a top speed of 28.6 m/s28.6 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +?+x direction point in the direction the cheetah runs. Express the cheetah's top speed ?topvtop in miles per hour (mi/h)(mi/h) . vtop=63mph Starting from a crouched position, how much time ?acceltaccel does it take a cheetah to reach its top speed and what distance ?d does it travel in that time? taccel=3.35 d=47.98 If a cheetah sees a rabbit 123.0 m123.0 m away, how much time ?totalttotal will it take to reach the rabbit, assuming the rabbit does not move and the cheetah starts from rest?
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.
Cheetahs can accelerate to a speed of 21.8 m/s21.8 m/s in 2.55 s2.55 s and can continue to accelerate to reach a top speed of 28.6 m/s28.6 m/s . Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +?+x direction point in the direction the cheetah runs.
Express the cheetah's top speed ?topvtop in miles per hour (mi/h)(mi/h) .
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