In Cincinnati, fireworks are launched from a large barge on the Ohio River for a Labor Day celebration.
Their flight can be modeled by the function h(t) = -4.9(t - 4)2 + 80, where h is the height in meters and t is the time in seconds.
Suppose that buildings obstruct the fireworks. So, the barge is relocated 30 meters to the east.
Write a function to model the path of the fireworks in the new location.

Respuesta :

The function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

Equations and expression

Given the height reached by the flight expressed as:

h(t) = -4.9(t - 4)^2 + 80

If the barge is relocated 30 meters to the east, the new function will be derived by subtracting 30 from the initial function

New function = -4.9(t - 4)^2 + 80 - 30

New function = -4.9(t - 4)^2 + 50

Hence the function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

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