17. A tortoise and a hare are having a race. The hare is initially in the lead and so, thinking the tortoise cannot possibly catch up to it, decides to take a nap. The hare wakes up and is shocked to see the tortoise almost at the finish line! At the moment the hare has this realization, the hare is 100 m from the finish line, while the tortoise is only 20 m away. The tortoise is traveling at a constant velocity of 0.3 m/s, and the hare accelerates from rest at 0.3 m/s². Question: How long will it take the have to reach the finish line?
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.
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![17. A tortoise and a hare are having a race. The hare is initially in the lead and so, thinking the tortoise cannot
possibly catch up to it, decides to take a nap. The hare wakes up and is shocked to see the tortoise almost
at the finish line! At the moment the hare has this realization, the hare is 100 m from the finish line, while the
tortoise is only 20 m away. The tortoise is traveling at a constant velocity of 0.3 m/s, and the hare
accelerates from rest at 0.3 m/s².
Question: How long will it take the have to reach
the finish line?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F877dc177-9e71-4d70-b3c8-b42ecf376b51%2F92b735d6-5936-4712-85a7-18c5d885db64%2Fvth0vmf_processed.jpeg&w=3840&q=75)
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