Question

The function h defined by h() = (37 + 5)(15 − ) models the height, in meters, of an object seconds after it is dropped from a helicopter.Find or approximate the time when the object hits the ground. Explain or show your reasoning.

Answer 1

Answer:

The object hits the ground in 15 seconds

Step-by-step explanation:

The objec hits the ground when h = 0

so

(37 +5t)(15 - t) = 0

37 + 5t = 0

OR

15 - t = 0

5t = -37

t = -37/5

This cannot be the time, because it is negative. Time can only be zero or positive.

Therefore,

15 - t = 0

t = 15

The object hits the ground in 15 seconds