kindred cypress
A particle that at the instant f = 0 is at a point A, travels in a straight line with constant speed of unknown module v. When a time T elapses the particle passes through a point B that is at a distance d from A.
a) Find v = v (d, T)
b) Give two expressions for the position of the particle as a function of time, one considering a coordinate system with origin in A and another considering a coordinate system with origin in B, and graph them.
floral kelpBOT
kindred cypress
guys I did a) v = d/T, but how do I do b)??
cloud meteor
assume displacement in x axis
since velocity is constant, there no acceleration
so velocity is also in the same positive x axis
ig for point A at origin, x=vt is direct
kindred cypress
ig for point A at origin, x=vt is direct
for B frame of reference is other way
kindred cypress
assume displacement in x axis
displacement is usually y axis and time is usually x axis
in my teachers notation
cloud meteor
for B frame of reference is other way
you have two methods, what i think, either by shifting of graph direct method, or by brief explanation
kindred cypress
how does this graph work?
cloud meteor
displacement is usually y axis and time is usually x axis
got it
since vel is ocnstant
x = vt, i.e linear graph with slope = v
also, for A at origin, t=0, x=0
do the same for b
kindred cypress
also, for A at origin, t=0, x=0
yeah
kindred cypress
how does this graph work?
how does this graph work?
kindred cypress
do the same for b
ig, x(t) for b is vt -d
kindred cypress
do the same for b
B = x0 = -d
cloud meteor
ig, x(t) for b is vt -d
see, slope will be v
x= vt + k
at t=0
object is at A
which is d distance behind B
B is origin
so x = -d
kindred cypress
what about the frigging graph
oh oh, got it
the graph just indicates A as origin, after T time passes they meet
and A to B is d displacement
then second graph
is B in origin
because we chose A -> B frame of reference (+)
so displacement B to A is -d
and graph when B is at origin they meet after T time passes
kindred cypress
ig for point A at origin, x=vt is direct
I appreciate the help haha