Question

A Loyola 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.

Answer 1

Answer: 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