A gazelle runs past a cheetah crouching below the grass on the planes of the savanna. When the gazelle is 4.00m past the cheetah, the cheetah begins to accelerate from rest at a rate of 12.0 m/s2 toward the running gazelle. The gazelle runs at a constant speed of 14.0 m/s. a. How much time does it take the cheetah to reach the gazelle after beginning to accelerate? b. How far does the cheetah run before reaching the gazelle? c. How fast is the cheetah moving when it reaches the gazelle?
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 gazelle runs past a cheetah crouching below the grass on the planes of the savanna. When the gazelle is 4.00m past the cheetah, the cheetah begins to accelerate from rest at a rate of 12.0 m/s2 toward the running gazelle. The gazelle runs at a constant speed of 14.0 m/s.
a. How much time does it take the cheetah to reach the gazelle after beginning to accelerate?
b. How far does the cheetah run before reaching the gazelle?
c. How fast is the cheetah moving when it reaches the gazelle?
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