1. (From an old exam) Suppose you are initially standing at rest and then jump as high as you can, straight up. (Get up and try this now if you like.) Several parts of this problem will ask you to make numerical estimates at out this situation; this means you will need to come up with reasonable values for some numbers that are no: given. Be sure to explain your reasoning and assumptions carefully for each part; grading will be based much more on your explanations than on the exact values of your final results. a) Estimate your speed at the moment when your feet first leave the ground. (Hint: you should be able to related this to the maximum height you reach during your jump. Do not yet try to estimate the amount of time you are in the air; this is directly related to the height, and is much more difficult to estimate accurately.)
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. (From an old exam) Suppose you are initially standing at rest and then jump as high as you can, straight
up. (Get up and try this now if you like.) Several parts of this problem will ask you to make numerical estimates
at out this situation; this means you will need to come up with reasonable values for some numbers that are
not given. Be sure to explain your reasoning and assumptions carefully for each part; grading will be based
much more on your explanations than on the exact values of your final results.
a) Estimate your speed at the moment when your feet first leave the ground. (Hint: you should be able to
related this to the maximum height you reach during your jump. Do not yet try to estimate the amount of time
you are in the air; this is directly related to the height, and is much more difficult to estimate accurately.)
b) Based on your result from part (a), calculate the approximate amount of time you're in the air during the
jump.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90ae1aab-f107-47ea-b140-00f7b3a4760d%2F2a39c8cb-28b1-4fd3-89c4-724d92575a8b%2Fpf8d3yb_processed.jpeg&w=3840&q=75)
![c) Use your results from part (a) and (b) to estimate the magnitude of your acceleration as you hit the
ground, while your feet are in contact with the ground. Also specify the direction of your acceleration during
this interval. (Hint: it takes you a very short time o come to rest-but not zero time! Try to estimate the
amount of time by relating it to the amount of time you were in the air, which you calculated above.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90ae1aab-f107-47ea-b140-00f7b3a4760d%2F2a39c8cb-28b1-4fd3-89c4-724d92575a8b%2F2cvnm5v_processed.jpeg&w=3840&q=75)
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