(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? Neglect air resistance.

2. Relevant equations

yo = 0

y = -100 m

g = -9.8 m/s^2

Vo = 0

Vxo = 40 m/s

3. The attempt at a solution

y = yo + Vot - 1/2gt^2

-100 = 0 + 0 - 1/2(9.8 m/s^2)t^2

t^2 = 100 m/(4.9 m/s^2)

=20.4 s^2

t = sqrt(20.4 s^2)

=4.5 s

y = (Vyo)t - 1/2gt^2

100 m = Vyo(4.52 s) - 1/2(9.8 m/s^2)(4.52 s)^2

(4.52 s)Vyo = 100 m + 22m

Vyo = 122 m/4.52 s

= 27 m/s

V^2 = Vx^2 + Vy^2

V = sqrt(Vx^2 + Vy^2)

= sqrt[(40 m/s)^2 + (27 m/s)^2]

= 48 m/s

Can any body please tell me if this is correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Projectile Motion helicopter

**Physics Forums | Science Articles, Homework Help, Discussion**