Question

A particle of unit mass has position vector r = ti in one inertial frame of reference. A second frame is translating with respect to the inertial frame such that its origin has a position vector ai + bj + t2k where a and b are constants. Find the path the particle takes relative to the second frame and show that it will appear to be subject to a force −2k.

Answer 1

A particle of unit mass has position vector \[r=ti\] in one inertial frame of reference. A second frame is translating with respect to the inertial frame such that its origin has a position vector \[ai+bj+t ^{2}k\] where a and b are constants. Find the path the particle takes relative to the second frame and show that it will appear to be subject to a force −2k.