A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 270 mm from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s2m/s2 for 5.0 ss, then running at constant speed. Does the gazelle escape? Yes, the gazelle will run more than the cheetah could run at all during the gazelle's acceleration. No, the cheeatah will approach the gazelle during its acceleration. Yes, but in order to escape gazelle needs to maintain the constant speed for a while. No, the cheeatah will approach the gazelle during its run at a constant speed.
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 cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 270 mm from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s2m/s2 for 5.0 ss, then running at constant speed.
Does the gazelle escape?
| Yes, the gazelle will run more than the cheetah could run at all during the gazelle's acceleration. |
| No, the cheeatah will approach the gazelle during its acceleration. |
| Yes, but in order to escape gazelle needs to maintain the constant speed for a while. |
| No, the cheeatah will approach the gazelle during its run at a constant speed. |
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