The Acelerations of a paerticle as seen from two frames `S_1 and S_2` have equal magnitude `4 m/s^2`.

Options

A. the frames must be at rest with respect to each other
B. the frames may be moving with respect to each other but neither should be accelerated with respect to the other
C. the acceleration of with respect to may either be zero or 8 ` m//s^(2) `
D. The acceleration of `S_2 ` with respect to ` S_1 ` may be anything between zero and ` 8 m//s^(2) `

Answer

D

Explanation

` |overset to a PS_1 | =4, |oversetto a PS_2| =4 , oversetto a S_1P- oversetto a S_2P `
` rArr |oversetto a S_1 S_2|max =|oversetto a S_1P|+|oversetto a S_2P | =4+4=8m//s^(2) and ` |oversetto a S_1S_2|_("min") =|oversetto a S_1P|-|oversetto a S_2 P|=4-4=0`