Answer :
The position where the package strikes the ground is 136.3m.
Time of motion of the package
Use the following kinematic equation;
h = vt + ¹/₂gt²
179 = 47t + ¹/₂(9.8)t²
179 = 47t + 4.9t²
4.9t² + 47t - 179 = 0
solve the quadratic equation using formula method;
a = 4.9, b = 47, c = -179
t = 2.9 seconds
Horizontal distance traveled by the package
X = vt
X = 47m/s x 2.9 s
X = 136.3 m
Thus, the position where the package strikes the ground is 136.3m.
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