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Question
The accelerations of a particle as seen from two frames S1 and S2 have equal magnitude 4 m/s2.
Options
The frames must be at rest with respect to each other.
The frames may be moving with respect to each other.
The acceleration of S2 with respect to S1 may either be zero of 8 m/s2.
The acceleration of S2 with respect to S1 may be anything between zero and 8 m/s2.
Solution
The acceleration of S2 with respect to S1 may be anything between zero and 8 m/s2.
Explanation:
\[\vec{a}_{\text{ s}_2 \text{ s } _1} = \vec{a}_{\text{s }_2 \text{ p } } + \vec{a}_{\text{p} \text{s}_1} \]
\[\left| \vec{a}_{\text{ s } _2 \text{ s } _1} \right| = \sqrt{4^2 + 4^2 + 32\cos\left( \theta \right)}\]
\[- 1 < \cos\left( \theta \right) < 1\]
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