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at the end of a downhill run, a skier of mass 80 kg slides up a rough slope at an angle of 10° to the horizontal,
to slow down. he arrives at the upward slope with an initial speed of 12 ms. the coefficient of friction
between the skier and the slope is 0.4. find how far up the slope he comes to rest, and show that he remains at
rest there without falling back down the slope.

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step-by-step explanation:

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step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

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step-by-step explanation:

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