Mixing
My problem with the velocity of the object with position $z=t^2-t^3$.
Clash Royale CLAN TAG#URR8PPP
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(a)
(b)Using first derivative test, $$fracdzdt=0.$$ We get $t=2/3$. When $t=2/3$ object move $z=4/27$ units far from $z=0$.
(c) Velocity at which object departed from $z=0,$ $$fracdzdt|_t=0=0.$$ Am I correct? What about the velocity at which it return? Is it $$fracdzdt|_t=1?$$
(d)Is $z=f(t)$ unique?
May I know where is my mistake? Please help me to complete the answer.
physics classical-mechanics special-relativity
edited Jul 29 at 14:51
user 108128
19k41544
asked Jul 29 at 14:25
N. Maneesh
2,4271924
add a comment |Â
up vote
0
down vote
favorite
(a)
(b)Using first derivative test, $$fracdzdt=0.$$ We get $t=2/3$. When $t=2/3$ object move $z=4/27$ units far from $z=0$.
(c) Velocity at which object departed from $z=0,$ $$fracdzdt|_t=0=0.$$ Am I correct? What about the velocity at which it return? Is it $$fracdzdt|_t=1?$$
(d)Is $z=f(t)$ unique?
May I know where is my mistake? Please help me to complete the answer.
physics classical-mechanics special-relativity
edited Jul 29 at 14:51
user 108128
19k41544
asked Jul 29 at 14:25
N. Maneesh
2,4271924
Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
1
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
(a)
(b)Using first derivative test, $$fracdzdt=0.$$ We get $t=2/3$. When $t=2/3$ object move $z=4/27$ units far from $z=0$.
(c) Velocity at which object departed from $z=0,$ $$fracdzdt|_t=0=0.$$ Am I correct? What about the velocity at which it return? Is it $$fracdzdt|_t=1?$$
(d)Is $z=f(t)$ unique?
May I know where is my mistake? Please help me to complete the answer.
physics classical-mechanics special-relativity
edited Jul 29 at 14:51
user 108128
19k41544
asked Jul 29 at 14:25
N. Maneesh
2,4271924
(a)
(b)Using first derivative test, $$fracdzdt=0.$$ We get $t=2/3$. When $t=2/3$ object move $z=4/27$ units far from $z=0$.
(c) Velocity at which object departed from $z=0,$ $$fracdzdt|_t=0=0.$$ Am I correct? What about the velocity at which it return? Is it $$fracdzdt|_t=1?$$
(d)Is $z=f(t)$ unique?
May I know where is my mistake? Please help me to complete the answer.
physics classical-mechanics special-relativity
edited Jul 29 at 14:51
user 108128
19k41544
asked Jul 29 at 14:25
N. Maneesh
2,4271924
edited Jul 29 at 14:51
user 108128
19k41544
edited Jul 29 at 14:51
user 108128
19k41544
edited Jul 29 at 14:51
user 108128
19k41544
19k41544
asked Jul 29 at 14:25
N. Maneesh
2,4271924
asked Jul 29 at 14:25
N. Maneesh
2,4271924
asked Jul 29 at 14:25
N. Maneesh
2,4271924
2,4271924
Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
1
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43
add a comment |Â
Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
1
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43
Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
1
1
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
1
down vote
accepted
You are OK so far and your graph works for the first 3 parts of the problem.
For part $(d)$ they want to find a different function with both velocities being zero at $t=0$ and $t=1$
You consider a polynomial in form of $bt^2+ct^3$ and find the coefficients.
It should work out.
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
You are OK so far and your graph works for the first 3 parts of the problem.
For part $(d)$ they want to find a different function with both velocities being zero at $t=0$ and $t=1$
You consider a polynomial in form of $bt^2+ct^3$ and find the coefficients.
It should work out.
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
add a comment |Â
up vote
1
down vote
accepted
You are OK so far and your graph works for the first 3 parts of the problem.
For part $(d)$ they want to find a different function with both velocities being zero at $t=0$ and $t=1$
You consider a polynomial in form of $bt^2+ct^3$ and find the coefficients.
It should work out.
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
You are OK so far and your graph works for the first 3 parts of the problem.
For part $(d)$ they want to find a different function with both velocities being zero at $t=0$ and $t=1$
You consider a polynomial in form of $bt^2+ct^3$ and find the coefficients.
It should work out.
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
You are OK so far and your graph works for the first 3 parts of the problem.
For part $(d)$ they want to find a different function with both velocities being zero at $t=0$ and $t=1$
You consider a polynomial in form of $bt^2+ct^3$ and find the coefficients.
It should work out.
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
answered Jul 29 at 15:09
Mohammad Riazi-Kermani
27.3k41851
27.3k41851
add a comment |Â
add a comment |Â
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Why do you think that you made a mistake?
– Sobi
Jul 29 at 14:29
velocity at which object return. Am I using the correct formula?
– N. Maneesh
Jul 29 at 14:30
Yes, you are. As for part (d), the solution is not unique, as you say. The question only asks you to find one example. Can you find it on your own?
– Sobi
Jul 29 at 14:39
okay. Then I got the complete solution. Thank you very much sobi :)
– N. Maneesh
Jul 29 at 14:39
1
The title may be edited. It does not provide much information about your question ;-)
– tatan
Jul 29 at 14:43