The coordinate axes of the reference frame S′ remain parallel to those of S, as S′ moves away from S at a constant velocity v ⃗ S′ = (4.0i ^ + 3.0j ^ + 5.0k ^ ) m/s. (a) If at time t = 0 the origins coincide, what is the position of the origin O′ in the S frame as a function of time? (b) How is particle position for r ⃗ (t) and r ⃗ ′(t), as measured in S and S′, respectively, related? (c) What is the relationship between particle velocities v ⃗ (t) and v ⃗ ′(t)? (d) How are accelerations a ⃗ (t) and a ⃗ ′ (t) related?

The coordinate axes of the reference frame S′ remain parallel to those of S, as S′ moves away from S at a constant velocity v ⃗ S′ = (4.0i ^ + 3.0j ^ + 5.0k ^ ) m/s. (a) If at time t = 0 the origins coincide, what is the position of the origin O′ in the S frame as a function of time? (b) How is particle position for r ⃗ (t) and r ⃗ ′(t), as measured in S and S′, respectively, related? (c) What is the relationship between particle velocities v ⃗ (t) and v ⃗ ′(t)? (d) How are accelerations a ⃗ (t) and a ⃗ ′ (t) related?

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Question

The coordinate axes of the reference frame S′ remain parallel to those of S, as S′ moves away from S at a constant velocity v ⃗ _S′ = (4.0i ^ + 3.0j ^ + 5.0k ^ ) m/s. (a) If at time t = 0 the origins coincide, what is the position of the origin O′ in the S frame as a function of time? (b) How is particle position for r ⃗ (t) and r ⃗ ′(t), as measured in S and S′, respectively, related? (c) What is the relationship between particle velocities v ⃗ (t) and v ⃗ ′(t)? (d) How are accelerations a ⃗ (t) and a ⃗ ′ (t) related?

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