Hey, I was wondering if someone could check my answer for this question:(adsbygoogle = window.adsbygoogle || []).push({});

A helicopter is rescuing a boy from a flooded street. Hovering 20 m in the air, a cable is lowered to the child. After it is attached, the helicopter begins to accelerate upwards at 0.2 m/s^2. Eight seconds later, the rope snaps and the child plunges to the ground. How fast (in km/h) was the child traveling when he landed?

Helicopter:

a = 0.2m/s^2

t = 8s

v1 = 0 (I figured since he is hovering)

Boy:

v1 =

d =

a = 9.8m/s^2

I started by calculating the overall distance the helicopter traveled; it came out to 6.4 m, which makes it 26.4 m in the air. The boy must then be 6.4 m off the ground, and thus his fall is a total of 6.4 m.

Then I calculated the final speed of the helicopter. I figured that the final speed of the helicopter should be the initial speed of the boy. This came out to 1.6m/s

At this point I have the distance of the boy's fall, his acceleration, and his initial velocity (it turned out to be negative, due to direction).

I subbed in acc, v1, and d into v2^2 = v1^2 + 2ad and got an answer of 11.31 m/s, which ends up being 41 km/h.

Is my logic correct? Thanks in advance,

Nicholas

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# Homework Help: A typical motion question (am I correct?)

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