- #1
Chris T.
- 4
- 0
Homework Statement
Cars A and B are traveling on adjacent roads. Car A travels at a speed of 70 mi/h in the positive y direction, and its acceleration is zero. Car B travels along a circular path of radius 0.7 mi, and has a velocity of 50 mi/h at an angle of 30 degrees right of vertical. Car B has an acceleration of 1100 mi/h^2. Find the relative velocity and acceleration of car B with respect to Car A.
Homework Equations
v(B wrt A) = v(B) - v(A) (vector velocities)
a(B wrt A) = a(B) - a(B) (vector accelerations)
The Attempt at a Solution
I started by writing the velocity of both A and B in their own inertial frames, in vector form (cartesian coordinates). Car A has velocity 0i+70j, and Car B has velocity 50sin(30)i+50cos(30)j. By subtracting the velocity of A from the velocity of B, I got the correct magnitude and direction of the relative velocity that is being asked for. I am now stuck looking at how to approach the relative acceleration portion of the question. Any help is greatly appreciated?