The table below gives the velocity of an object with respect to time
EventTime(s)Velocity(fts)Launch 00Begin roll maneuver10185End roll maneuver15319Throttle to 89%20447Throttle to 67%32742Throttle to 104%591325Maximum dynamic pressure621445Solid rocket booster separation1254151
a.) Use a graphing device to find the cubic polynomial that best models the velocity of an object.
b.) Find a model for acceleration and use it to estimate the maximum and minimum values of the acceleration during the first 125 seconds.
a.) Based from the values in the graph, we can model the velocity as
v(t)=0.0015t3−0.1155t2+24.982t−21.269
Recall that a(t)=V′(t) so the model for acceleration is...
a(t)=V′(t)=0.0045t2−0.231t+24.982
Let's graph the model for acceleration to estimate the maximum and minimum values
Based from the graph the maximum value ≈25fts2 and the minimum value ≈−4fts2
Friday, November 17, 2017
Single Variable Calculus, Chapter 4, 4.1, Section 4.1, Problem 66
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