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3. A roller coaster is speeding down a track. Its motion is described by the path r(t) = -5t’i + t°j+(4t+30)k. At time t = 2, the roller coaster leaves the track. (a) Ignoring the effects of gravity and drag, determine where the roller coaster will be at time t = 5. (b) Including the effect of gravity but ignoring the effect of drag, de- terminer where the roller coaster will be at time t = 5.

3. A roller coaster is speeding down a track. Its motion is described by the path r(t) = -5t’i + t°j+(4t+30)k. At time t = 2, the roller coaster leaves the track. (a) Ignoring the effects of gravity and drag, determine where the roller coaster will be at time t = 5. (b) Including the effect of gravity but ignoring the effect of drag, de- terminer where the roller coaster will be at time t = 5.

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3. A roller coaster is speeding down a track. Its motion is described by the path r(t) = -5t’i + tj+(4t+30)k. At time t = 2, the roller coaster leaves the track. (a) Ignoring the effects of gravity and drag, determine where the roller coaster will be at time t = 5. (b) Including the effect of gravity but ignoring the effect of drag, de- terminer where the roller coaster will be at time t = 5.
Transcribed Image Text:3. A roller coaster is speeding down a track. Its motion is described by the path r(t) = -5t’i + tj+(4t+30)k. At time t = 2, the roller coaster leaves the track. (a) Ignoring the effects of gravity and drag, determine where the roller coaster will be at time t = 5. (b) Including the effect of gravity but ignoring the effect of drag, de- terminer where the roller coaster will be at time t = 5.
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