dy vy(t) dt Submit awy²e-2at cos(wt) sin(wt) Part E w cos(wt) sin(wt) -yoe-at (a cos(wt) + w sin(wt)) Oyoe at (cos(wt) + aw cos(wt)) Ⓒ-ayo²e-2at Previous Answers ✓ Correct In this example we used both the chain and product rules of differentiation to obtain an expression for the (vertical) velocity-time relationship for the car from its position-time relationship. Evaluate the numerical value of the vertical velocity of the car at time t = 0.25 s using the expression from Part D, where yo = 0.75 m, a = 0.95 1/s, and w = 6.3 rad/s. ▾ View Available Hint(s)

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.