- #1
leden
- 7
- 0
I have spent a long time stuggling with an interesting problem which was set up by my brother some time ago:
Consider an object that starts moving along the line according to the equation below:
[tex]v(s)=1+{s}^{2}[/tex]
where s is the total distance traveled by the object and v is the velocity of the object as a function of the distance travelled. respectively.
Notice that the object starts moving at velocity 1 m/s and the velocity continuously increases as it travels.
The question is, what is the velocity of the object at some time t?
[tex]v(t)=?[/tex]
What is the distance traveled at some time t?
[tex]s(t)=?[/tex]
I would greatly appreciate if someone posted a detailed solution to the above problem.
Consider an object that starts moving along the line according to the equation below:
[tex]v(s)=1+{s}^{2}[/tex]
where s is the total distance traveled by the object and v is the velocity of the object as a function of the distance travelled. respectively.
Notice that the object starts moving at velocity 1 m/s and the velocity continuously increases as it travels.
The question is, what is the velocity of the object at some time t?
[tex]v(t)=?[/tex]
What is the distance traveled at some time t?
[tex]s(t)=?[/tex]
I would greatly appreciate if someone posted a detailed solution to the above problem.