Help Me With These Simple Formulae Questions?

Question

Hi all, first of all I'd like to thank you for your time. Please answer all three of these questions below in as much detail as you can also including detailed steps. Thank you!

Question 7 & 8

Question 8 (Review Set)

Ethan Adkins · Accepted Answer

Question "7" - see below:

For the question "7": #S=1/2 at^2# solve for #t#: #2S=at^2# #t^2=(2S)/a# #t=sqrt((2S)/a)# ~~~~~ When #a=8, S=40# #t=sqrt((2(40))/8)=sqrt(80/8)=sqrt10 sec# When #a=8, S=10# #t=sqrt((2(10))/8)=sqrt(20/8)=sqrt(5/2) sec#

Julia Adams · Answer

Question "8" - see below:

Question "8" #m=m_o/sqrt(1-(v/c)^2)# Solve for #v#: #msqrt(1-(v/c)^2)=m_o# #sqrt(1-(v/c)^2)=m_o/m# #1-(v/c)^2=(m_o/m)^2# #(v/c)^2=1-(m_o/m)^2# #v/c=sqrt(1-(m_o/m)^2)# #v=csqrt(1-(m_o/m)^2)# ~~~~~ Find #v# as a fraction of #c# such that #m=3m_o# #v/c=sqrt(1-(m_o/(3m_o))^2)# #v/c=sqrt(1-(1/3)^2)# #v/c=sqrt(1-(1/9))# #v/c=sqrt(8/9)# #v=csqrt8/3~~.9428c# ~~~~~ Find #v#, with #m=30m_o# and #c~~3xx10^8# #v=(3xx10^8)sqrt(1-(m_o/(30m_o))^2)# #v=(3xx10^8)sqrt(1-(1/30)^2)# #v=(3xx10^8)sqrt(1-(1/900))# #v=(3xx10^8)sqrt(899/900)~~299,833,287ms^-1#

Abigail Allen · Answer

Review Set 8 - see below:

Review Set 8: With the set of consecutive odd integers, we are given: #1,3,5,7,...# The next 3 terms are: #9,11,13# The #nth# term can be found: #2n-1# where #n# is a natural number (#n>0#) For the pattern of #T_1, T_2, T_3,...# where #T_1=1/(1xx3), T_2=1/(3xx5), T_3=1/(5xx7)# following the pattern: #T_4=1/(7xx9), T_5=1/(9xx11), T_6=1/(11xx13)# notice that, in the denominator, the smaller of the two numbers is the #nth# term. For instance, for #T_6=1/(11xx13)#, the subscript 6 is #n#, and so the #nth# term is #2n-1=2(6)-1=11#. Hence, for the 20th term, we'll have the lesser term in the denominator as: #2n-1=2(20)-1=39# and therefore: #T_20=1/(39xx41)# and #T_n=1/((2n-1)(2n+1))#

Savannah Anderson · Answer

undefined Of course, I'd be happy to help you with your formulae questions. Please go ahead and ask your questions, and I'll provide you with accurate and comprehensive answers.

Help Me With These Simple Formulae Questions?

Hi all, first of all I'd like to thank you for your time. Please answer all three of these questions below in as much detail as you can also including detailed steps. Thank you! Question 7 & 8 Question 8 (Review Set)

Hi all, first of all I'd like to thank you for your time. Please answer all three of these questions below in as much detail as you can also including detailed steps. Thank you!

Question 7 & 8

Question 8 (Review Set)