Isaac Physics A Vertical Throw

2

Link https://isaacphysics.org/questions/section_7_4_question_9?board=f0add85d-5a5e-4b79-8892-cb9e73118924&stage=further_a
I've been having some issues with Part F. I've tried integrating the function v = V tan(t/T - t_f/T) as determined in previous parts, and I've applied the boundary conditions to get x= -VT ln(cos(t/T - t_f/T)) + VT ln(cos(-t_f/T)), but when i input this, the answer is incorrect. Does the answer need to be given in a specific form, or am i missing something?

Reply 1

Eimmanuel

Study Forum Helper

15

Original post by batm4n

Link https://isaacphysics.org/questions/section_7_4_question_9?board=f0add85d-5a5e-4b79-8892-cb9e73118924&stage=further_a
I've been having some issues with Part F. I've tried integrating the function v = V tan(t/T - t_f/T) as determined in previous parts, and I've applied the boundary conditions to get x= -VT ln(cos(t/T - t_f/T)) + VT ln(cos(-t_f/T)), but when i input this, the answer is incorrect. Does the answer need to be given in a specific form, or am i missing something?

Try to factor oit the term -VT (is minus VT) and combine the 2 ln term as 1 single ln term.

Reply 2

username6683408

OP

2

Original post by Eimmanuel

Try to factor oit the term -VT (is minus VT) and combine the 2 ln term as 1 single ln term.

thank you so much, i got it

Reply 3

Eimmanuel

Study Forum Helper

15

Original post by username6683408

thank you so much, i got it

Did you change your user name?

Reply 4

username6830530

Original post by username6683408

thank you so much, i got it

Can you help a little more as I tried x(t)=VTln(cos((t_f)/T)/(cos((t-t_f)/T))) a few times still it’s not working?

Reply 5

Eimmanuel

Study Forum Helper

15

Original post by username6830530

Can you help a little more as I tried x(t)=VTln(cos((t_f)/T)/(cos((t-t_f)/T))) a few times still it’s not working?

I recommend that you contact Isacc Physics via the website to notify them. If you want to get them marked correctly, see OP expression and factor out -VT from the expression.

Reply 6

KettleNoodles

4

Original post by username6830530

Can you help a little more as I tried x(t)=VTln(cos((t_f)/T)/(cos((t-t_f)/T))) a few times still it’s not working?

Update. Use the trigonometric addition rules to rewrite cos((t-t_f)/T)). The clue is that the question says: The following symbols may be useful:
T, V, arccos(), arcsin(), arctan(), cos(), ln(), log(), m, q, sin(), t, t_f, tan(), x(t). This includes sin(), so sine must be relevant here.

(edited 7 months ago)

Isaac Physics A Vertical Throw

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