How Long Does It Take a Skier to Descend a 22° Incline?

AI Thread Summary
To determine how long it takes a skier to descend a 22° incline, the initial speed is 2.91 m/s, and the final speed at the bottom is 12.18 m/s, with the incline length calculated as 19.0610 m. The skier's acceleration can be derived from the change in speed and the incline's angle. Using kinematic equations, the time to reach the bottom can be calculated by rearranging the formula that relates distance, initial velocity, acceleration, and time. Providing details on the calculations already attempted can facilitate more effective assistance. The discussion emphasizes the importance of showing work to receive help with kinematics problems.
dougr81
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Hi,
I am having some trouble with this simple kinematics problem. Here it is:

A skier is gliding along at 2.91 m/s on horizontal, frictionless snow. He suddenly starts down a 22° incline. His speed at the bottom is 12.18 m/s.

The first question asks for the length of the incline, which I got 19.0610 m.

The second question asks how long it takes to reach the bottom. Can anyone help me set this up?

Thanks,
Doug
 
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Show at least a little of what you've done so far, if you expect to get help.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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