Question

A helicopter is traveling with a velocity of 12 m/s directly upward.

Directly below the helicopter is a very large and very soft pillow.

As it turns out, this is a good thing, because the helicopter is lifting

a large man. When the man is 20 m above the pillow, he lets go of

the rope. What is the greatest height reached by the man above

the ground?

Answer 1

H = 27.35 m

Step-by-step explanation:

From projectile motion, we know that;

h = (v_o)²/2g

Where;

v_o = 12 m/s

g = 9.8 m/s²

Thus;

h = 12²/(2 × 9.8)

h = 144/19.6

h = 7.35 m

Now, we are told that when the man is 20 m above the pillow, he lets go of

the rope.

Thus, greatest height reached by the man above the ground is;

H = 20 + h

H = = 20 + 7.35

H = 27.35 m