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?

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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. 

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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
Transcribed Image Text: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
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
Transcribed Image Text: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
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