The coordinate axes of the reference frame S′ remain parallel to those of S, as S′ moves away from S at a constant velocity v⃗ SS′=(4.0iˆ+3.0jˆ+5.0kˆ)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 r⃗ (t) and r⃗ ′(t), as measured in S and S′, respectively, related? (c) What is the relationship between particle velocities v⃗ (t)andv⃗ ′(t)? (d) How are accelerations a⃗ (t)anda⃗ ′(t) related?

Ahot-air balloon is drifting straight downward with a constant speed of 2.40 m/s. when the balloon is 7.63 m above the ground, the balloonist decides to drop one of the ballast sandbags to the ground below. how much time elapses before the sandbag hits the ground?

Which statement correctly describes a step-up transformer? a. it increases the amount of electric energy available. b. it increases the voltage of an electric current. c. it changes direct current into alternating current. d. it has more loops of wire in its primary coil.

Researchers determine that the biodiversity in a woodland region is declining. they identify two major threats to the region's biodiversity, a method to address each threat, and the expected outcome of each method. this information is shown in the table. a) reforestation would not benefit many species because most forest species live on the ground. b) reforestation would take the longest time to be effective because trees take several years to grow. c) biological augmentation would benefit only a few species because is is typically not very effective. d) biological augmentation would take less time to ve effective because it targets the majority of prey species.