Answer:
Maximum height = 332 units
Step-by-step explanation:
Maximum height reached when h'(t) = 0
h'(t) = 2t - 14 = 0
2t - 14 = 0
2t = 14 Divide both sides by 2
t = 14 / 2
t = 2
This implies that the height is maximum when
t = 2,
Maximum height = h (2)
= 2² - 14(2) + 356
= 4 - 28 + 356
Maximum height = 332 units