Question

please answer all parts of Q9 and Q12

QUESTION 9 The distance between Tuscaloosa to Birmingham is 58+1 miles. You got there by 65+2 minutes. A) What is your speed in m/s and B) its percentage error? (do not type % sign) (round both answers to 3 sig fig) C) Then, convert that percentage error into absolute error. (round answer to 1 dp) 10 points Save Answer

Answer 1

TE PAGE NO. 1. ... Questess o Given distance = 58 I1 miles time = 65 + 2 minutes 1 mile = 1609.34 metre 1 minute = Go see (A) Speed = Distance = 58 Enilu = 58% 1609.3 m Time 65 minutes 65x60 speed = 23.933 m/s = 23,9 mis (B) We know that maximum rubatwie euren Isthen two quantities ase divided is given by sa + Ab there sa a, b are b original quantities sa, Ab are errors in a a and to respectively. AQ is the absolute essor, Q is the true quantity (Q = 9/6) and Here, Error in speed speed = 1 + 2 65 58 error in speed *100 = Error in Speed Speed + 2 58 65 100 | 0.0172 +0.0307) x 100 0.0479X100 = 4.792 PINZ PASMEN

Question 9601 Relatwie Ernon (Fractional Evorar Error in speed speed in speed Error in speed It 58 65 speed = 0.0172 t 0.0307 0.0479 Error in speed Speed Euror in speed 23.933 x 0.0479 1:14 os Absolute Error : 1:14 Speed can be written as (23.933 7 114).mke 23.9 11.14) mis DA POPER

3 Question 12 ) Area of cinde = 7142 where r = radius of the circle T = 3.14159 (Given) Area = ar ? ( Guien 191=5.5101cm) E11x (5.5) (5.5) 2 2 2 cm 95,0 cm 2 = 3.14 159 X 5.5 X 5.5 Exotional 95.033cm Error in Area 2 Ar А r B = AA Where ar is the error in radine le. 2 toolcm fractional Error in Area = AA 2АЯ r А 0.003636 = 2 Ar = 2xo.ol 5-5 r AA А Percentag AA x 100 error in Area = A =-00036&too = 0.00 3636 x 100 = 0.36% 0.36 3%.