TBR Physics book 1, discrete 49

[lolcat]

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Its from chapter 1. Can someone explain it to me? I dont quite get their explanation. Thanks

the question is: which of the follow grpahs best represents the speed of a rolling mass as a fx of the distance it travels down the inclined plane.

the answer is y=sqrt(x)

 

[reising1]

We know from mechanics that Vf^2 = Vi^2 + 2ad. For an inclined plane, it starts at rest at the top, so Vi (initial velocity) is 0.

We also know that acceleration down an inclined plane is g*sin(theta).

Vf = sqrt(2*g*sin(theta)*d)

2, g, and sin(theta) are all constants for a particular ramp, and hence the final velocity is directly proportional to sqrt(d)

 

[lolcat]

thanks. you made it simpler. i feel dumb asking this question now lol