Ball on a Segmented Ramp A ball is set rolling on the track shown. (Figure 1) At

Question

Ball on a Segmented Ramp A ball is set rolling on the track shown. (Figure 1) At t = t0 it is released at the very left of the track with velocity v1 to the right. It reaches the evenly spaced positions x = x1, x = x2,... at later times t1, t2, .... Given that the spatial intervals between the various xi are equal, it is clear that the time intervals t10 = t1 - t0, t21 = t2 -t1, etc. will probably not be. Which ordering would be possible for these intervals? t10 > t21 > t32 > t43 t10 t32 t10

Explanation / Answer

a)The velocity in segment x2x3 will be highest. therefore it will take the least time.

The velocity in segment 0x1 will me lowest. therefore, it will take the most time.

therefore, t10>t21>t43>t32

b)b is correct because the third interval has the maximum velocity and therefore the maximum slope.

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