The equation for the vertical motion of the fireworks can be given by the formula:
h(t) = h₀ + v₀t + (1/2)gt²
Where:
h(t) is the height of the fireworks at time t
h₀ is the initial height of the fireworks (top of the building)
v₀ is the initial velocity of the fireworks (upward velocity)
g is the acceleration due to gravity (approximately 32 ft/sec²)
In this case, since the fireworks is launched from the top of the building, the initial height (h₀) would be the height of the building. However, the question does not provide the height of the building, so we cannot determine the initial height accurately.
The initial velocity (v₀) is given as 150 ft/sec.
The coefficient of "t" in the equation represents the initial velocity (v₀).
one of the fireworks is launched from the top of the building with an initial upward velocity of 150 ft/sec
the initial velocity tales place of a different coefficent of "t" in the equation
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