an object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet height. a. what is the maximum height of the object? b. how many seconds until the object hits the ground?\

Respuesta :

a) Object maximum height is : 144 feet

b) object hits the ground in : 5.74 seconds

a) t = - [tex]\frac{b}{2a}[/tex]

  t  = - [tex]\frac{-64}{2(-16)}[/tex]

  t  =  2 second

h(t) = -16[tex]t^{2}[/tex] + 64t + 80

  h(2) = -16([tex]2^{2}[/tex]) + 64(2) + 80

       h = -64 + 128 + 80

        h = 144 feet

b) Time to maximum height = 2 seconds

Maximum height = 144 ft

Displacement when it hits the ground  = -80

-80 = -16[tex]t^{2}[/tex] + 64t + 80

solve for t :

t = 5.74 seconds

A displacement simple definition is what?

A change in an object's position is referred to as "displacement." It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.

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I understand that the question you are looking for is:

A object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The equation that models this is given by h(t) = -16[tex]t^{2}[/tex] + 64t + 80.

a) What will the objects maximum height ?

b) How many seconds until the object hits the ground?