probl Find Velocity The second fundamen que tion at moment, not it was not even clear what "vi divided by time, so at a sing ng velocity when we know the po bundred years later. For a long time moment" means. Velocity is distance ance has been traveled and no time ha pu elapsed! But we can look at velocica short intervals of time close to the momen in question. Just as we were able to put upper and lower limits on distance, we can upper and lower limits on velocity near a given moment. To distinguish between the tra ditional understanding of velocity as distance divided by time and the concept of the velocity at a single moment, we refer to the total distance divided by the elapsed time a the average velocity. Exploration 2 Bounding the Velocity The Eagle X, a rocket designed to launch satellites into orbit, has height at time seconds after lift-off that can be approximated by the function h(1) = 1700(1 – sin(1/200) - 200 kilometers, 0 ≤ t≤ 120. t Kilometers 40 20 100 80 60 28 0 20 20 40 60 80 100 120 Seconds after lift-off Time (sec) 0 20 40 Height (km) 0 2.8 60 80 11.3 25.4 45.0 70.0 100 120 100.2 1. Is the rocket speeding up or slowing down over time? Use the data in the table to defend your answer. 2. We want to find bounds on the velocity at 60 seconds. Will the average velocity between the 60-second mark and the 80-second mark give us an upper bound or a lower bound on the velocity at 60 seconds?