The player's acceleration is 2 meters per second squared.
Since the speed is constant (acceleration is zero), we know the horizontal forces are balanced.The swimmer's forward force cancels the 110N drag force.Work done by the swimmer is (110N x .22meter) = 24.2 N-m per second= 24.2 Joules per second= 24.2 watts
On Earth, 110N is the weight of about 11.216 kg of mass.
Force is equal to mass times acceleration, in this case the acceleration due to gravity. Gravity has an acceleration of 9.8 meters per second squared, so the total force is 196 Newton's. (1 Newton = 1 kg meter per second squared)
Requisition, handling, storage, and identification of radioactive material
Requisition, handling, storage, and identification of radioactive material
14. The rule is t(n) = (-7n3 + 57n2 - 110n + 84)/6 for n = 1 , 2, 3, ...
n+2/n=110 times by n on both sides n^2+2n=110n -2n -2n n^2=100n divide by n n=100 I think this may be right. Good luck!
One possibility given by Mehtamatics is: t(n) = (n4 - 10n3 + 29n2 -110n + 606)/6 t(1..5) = {86, 73, 58, 41, 26} as required → t(6) = (64 - 10 × 63 + 29 × 62 - 110 × 6 + 606)/6 = 21 Another possibility: t(2) = t(1) - 13 t(3) = t(2) - 15 t(4) = t(3) - 17 t(5) = t(4) - 15 Following this possible pattern, the next difference will be to subtract 13, giving: t(6) = t(5) - 13 = 26 - 13 = 13. ----------------------------------------------------------------- In fact you can have any number you want as the next number. Just specify the next number(s) you want and a polynomial formula (like the one Mehtamatics supplied) can be found to give the first 5 numbers as {86, 73, 58, 41, 26) and the number(s) you specify to follow.
The next number is 42 as each term is given by: t{n} = (11n⁴ - 110n³ + 391n² - 556n + 384)/12 Then again, it could be 20 because each term is given by: t{n} = (n² - n + 20)/2 which corresponds to the difference between two term being one more than the difference between the previous two terms: t2 - t1 = 1 t3 - t2 = 2 = 1 + 1 t4 - t3 = 3 = 2 + 1 so the next difference is 3 + 1 = 4, so the next term t5 would be t4 + 4 = 16 + 2 = 20. Also: t{5} = (5² - 5 + 20)/2 = (25 - 5 + 20)/2 = 40/2 = 20. In fact, what number do you want to come next? Give me the number you want to be next and I could give you a polynomial (relating to the term number n) which gives the results {10, 11, 13, 16} for terms n = 1, 2, 3, 4 and the number you specify for n= 5. The second answer is probably what your teacher wants, though the first answer is a perfectly good answer.