- #1
Jenny Physics
- 111
- 4
Homework Statement
A particle moves along a parabola on the x-y plane with equation ##y^{2}=2px## with constant speed ##1000m/s##.What is the magnitude of its acceleration?
Homework Equations
Parametric equations ##\vec{r}=(b^{2}t^{2}/(2p),bt)##.
The Attempt at a Solution
##\vec{v}=\frac{d\vec{r}}{dt}=(b^{2}t/p,b)\implies |\vec{v}|=b\sqrt{b^{2}t^{2}/p^{2}+1}=1000##
##\vec{a}=\frac{d\vec{v}}{dt}=(b^{2}/p,0)\implies |\vec{a}|=b^{2}/p##
Not sure were to go from here.