Aloyola university student decided to depart from earth after her graduation to find work on mars. before building a shuttle, she conducted careful calculations. a model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 74 s, is given by v(t)= 0.001490833t^3-.08389t^2+23.52t+7.3 (in feet per second). using this model, estimate the global maximum value and global minimum value of the acceleration of the shuttle between liftoff and the jettisoning of the boosters.

Minimum global acc when you substitute t = 0 in equation 2

Acc = 23.52m/s^2.

Global max acc = 35.595684524m/s^2

Explanation:

(t)= 0.001490833t^3-.08389t^2+23.52t+7.3(in feet per second). ...equation 1.

Equation 1 is the model showing the velocity pathway..

To derive the equation of acceleration.

We differentiate equation 1

DV(t)/Dt = acc. = .004472499t^2 - 0.16778t + 23.52...equ 2

Minimum global acc when you substitute t = 0 in equation 2

Acc = 23.52m/s^2.

Maximum global acc when you substitute the = 74s

Acc = 24.491404524 -12.41572 +23.52

Global max acc = 35.595684524m/s^2

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