Answer:
Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".
Step-by-step explanation:
Since the object has a initial velocity and it's being accelerated by gravity, than it's height is defined by:
H(t) = H(0) + V(0)*t + 0.5*g*t²
Applying the data from the problem, we have:
H(t) = 15 + 8.5*t + 0.5*32.17405*t²
H(t) = 15 + 8.5*t + 16.09*t²
Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".
