Helicopter Flight and Jet Pack Adventure

[oldspice1212]

A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0m/s^2 . Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 12.0s , Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off, and ignore the effects of air resistance.

A) What is the maximum height above ground reached by the helicopter?

B) Powers deploys a jet pack strapped on his back 5.0s after leaving the helicopter, and then he has a constant downward acceleration with magnitude 1.0m/s^2. How far is Powers above the ground when the helicopter crashes into the ground?

I got A as 700m already B is the one I need...

 

[mjordan2nd]

How did you approach part B?

 

[oldspice1212]

I tried many ways I used Vf = Vi + at to try getting the time but that didn't work the time seemed to absurd and then I used Vf² = Vi² + 2ad to try getting distance but that was wrong to, kept getting negative numbers.

 

[mjordan2nd]

How did you apply those equations, though, and what numbers did you use?

 

[stauber28]

Just use a few displacement functions.

0 = 432 + 72t_h -.5(9.8)t_h² //time for helicopter to reach the ground
h = 432 - .5(9.8)5² //height at jetpack turn on
h2 = h - 49t -.5t² //Plug in t_h-5s and h______________________________________
If everyone is thinking alike, then someone isn't thinking

Garrett Stauber​

 

[oldspice1212]

I still don't have B)

 

[stauber28]

I still don't have B)

The answer to b is h₂. If you solve / insert your values the equations above it will give you the answer.

 

[oldspice1212]

40m?

 

[stauber28]

I got approx. 239.5 m. There was a mistake in my 2nd equation, I assumed Powers began falling at G as soon as he stepped out, however his initial velocity allows him to continue upward for a while. So you have to calculate where he will be in 5s after stepping out (using a displacement function) and his velocity after those 5s (using v = v₀ + at) Hint: His V₀ is 72 m/s.
.

 

[oldspice1212]

My number seems to high about 439m...

 

[stauber28]

I'll go through step by step then from the beginning for you.

What to find:
H₁=Height at which the engine shut off
V₁=Velocity at H₁
H₂=Maximum Height
T=Time for Helicopter to reach the ground
V₂=Powers' velocity after 5s
H₃=Powers' Height after 5 s
H₄=Powers' Height at helicopter impact
H₁=0+0(12)+.5(6)(12²)=432
V₁=0+(6²)(12)=72
H₂=Max{432+72(t)-.5(9.8)t²} = 696.5
T→ 0=432+72(t)-.5(9.8)t² → T=19.23s
V₂= 72 - 9.8(5) = 23
H₃=432+72(5)-.5(9.8)(5)² = 669.5
H₄=669.5-23(19.23-5)-.5(1)(19.23-5)²=240

 

[oldspice1212]

It says 240m is wrong but I see how you got it.

Btw thanks a lot for taking time to help me, much is appreciated.

Not sure why 240m is wrong?

 

[stauber28]

I believe there is an incorrect negative sign in my last equation. See if you can find it, and try 895.5 for the answer.

 

[oldspice1212]

∏assignment is due in 2 hours :S ,not many tries left either, 895.5? That's higher then the max height :P, but is the negative in h4 when its -.5 should be +?

 

[stauber28]

That is higher than the helicopters max height, but remember his acceleration changes to -1 after 5 seconds while the helicopter acceleration stays at -9.8. Powers Max Height is actually 934, he is still climbing when the chopper hits the ground. The (-) initial velocity was incorrect.

 

[oldspice1212]

I love you so much man, 900m was correct, thank you sooooooo much! The explanations were wonderful...can't thank you enough!
THANKKKKKK YOU
THANK YOU
THANKKKKKKK YOU
THANK YOU!@$!@$!@$!@