- #1
Ishan Sharma
- 3
- 0
Homework Statement
[/B]
A particle P1 moves with a constant velocity v along x-axis, starting from origin. Another particle
P2 chases particle P1
with constant speed v, starting from the point (0, d). Both motion begin
simultaneously. Find -
1. Initial acceleration of P2.
2. Ultimate Separation between P1 and P2
3. Whether the trajectory of P2 in frame of P1 will be Hyperbola or Parabola.
The Attempt at a Solution
Let r be the distance between 1 and 2 at any
time t.
$$vcosθ- v= \frac{dr}
{dt} ... (1) $$
$$vcos\theta= \frac{dx}
{dt} ... (2)$$
For the rest of solution, please refer the attachment.
My questions-
1. This ω, according to me is the rate of change of direction of velocity vector. Now, I couldn't think about dθ/dt directly. So, what I did was, I saw took the ω with respect to P1. Is that right? If not, what's the correct answer?
2. I don't know what to do with the trajectory.
Any help would be appreciated.
Thankyou.