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Question

h(t) = -16t2 + 48t +72
If air resistance is ignored, the function h defined above models the height above ground, in feet, of a toy rocket t seconds after it is launched from the roof of building. Based on the model, what is the height above ground, in feet, of the toy rocket 1 second after launch?

  1. 104

The correct answer is: 104


    HINT :- after 1 second t = 1 and height will be h(1) after 1 sec .find h(1) by substituting the t = 1 in the above equation
    After 1 second t = 1 and height will be h(1) after 1 sec .
    h(1) = -16 (1) + 48(1) + 72
    h(1) = 32 + 72
    h(1) = 104
    So after 1 sec the toy rocket will be at a height of 104 feet above the ground.

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