OK, same sort of track, but now with d = 3.05 m. Now suppose the blocks starts on the track at x = 3.50 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?
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.
Attached is a set of questions, I answered 3 out of 4. Please can you help with the third question as I do not understand how to go about it. Also, I would appreciate if you are able to confirm the answers to the other 3 questions.
Thank you
![OK, same sort of track, but now with d = 3.05 m. Now
suppose the blocks starts on the track at x = 3.50 m. The
block is given a push to the left and begins to slide
track, eventually reaching its maximum height at x = 0, at
which point it turns around and begins sliding down.
What was its initial speed in this case?
up
the
1
6.28 m/s
2
4.55 m/s
3
6.50 m/s
4
8.88 m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F570d5587-6608-456c-9130-b4d9f1cdc321%2F911207cb-30dc-49bc-9586-6dc09ac0d5b5%2Fl8q91ql_processed.jpeg&w=3840&q=75)
![A small block slides down a frictionless track whose
shape is described by y = (x^2) /d for x<0 and by y = -
(x^2)/d for x>0. The value of d is 2.50 m, and x and y are
measured in meters as usual. Suppose the block starts
from rest on the track, at x = -2.43 m. What will the block
s speed be when it reaches x = 0?
Same type of track as in the previous problem, this time
with d = 3.95 m. The block starts at x = 0, and is given a
push to the left with an initial speed of 5.11 m/s, so it
starts sliding up the track to the left. At what value of x
will the block reverse direction and start sliding back
down?
6.81 m/s
1
-2.29 m
2
4.82 m/s
2
2.29 m
1
3
3.86 m/s
3
1.33 m
4
9.53 m/s
4
-1.33 m
OK, same sort of track, but now with d = 3.05 m. Now
Here we go again this time, d= 2.98 m. Suppose the
block starts on the track at x = 0. What minimum initial
velocity (moving to the right) must the block have such
that it will leave the track at x = 0 and go into freefall?
suppose
the blocks starts on the track at x = 3.50 m. The
block is given a push to the left and begins to slide up the
track, eventually reaching its maximum height at x = 0, at
which point it turns around and begins sliding down.
What was its initial speed in this case?
1
5.32 m/s
1
6.28 m/s
2
7.65 m/s
2
4.55 m/s
3
5.41 m/s
3
6.50 m/s
4
5.22 m/s
4
8.88 m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F570d5587-6608-456c-9130-b4d9f1cdc321%2F911207cb-30dc-49bc-9586-6dc09ac0d5b5%2Ftm9zdhq_processed.jpeg&w=3840&q=75)
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