A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1 m/s2 for 4.7 seconds. It then continues at a constant speed for 11.9 seconds, before getting tired and slowing down with constant acceleration coming to rest 82 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. 1) How fast is the hare going 2.4 seconds after it starts? 2) How fast is the hare going 13.5 seconds after it starts? 3) How far does the hare travel before it begins to slow down?
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.
1)
How fast is the hare going 2.4 seconds after it starts?2)
How fast is the hare going 13.5 seconds after it starts?3)
How far does the hare travel before it begins to slow down?4)
What is the acceleration of the hare once it begins to slow down?5)
What is the total time the hare is moving?6)
What is the acceleration of the tortoise?Trending now
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