Constant acceleration problem involving NASA exploration vehicle.

AI Thread Summary
NASA's exploration vehicle landed on Mars in January 2004, undergoing three stages of descent with constant acceleration. During Stage A, the vehicle slowed from 19,300 km/h to 1,600 km/h over 4 minutes, while Stage B involved a parachute reducing speed to 321 km/h in 94 seconds. Stage C utilized retro rockets to stop the vehicle completely over a distance of 75 meters. Participants in the discussion sought help with calculations for acceleration during Stage C, total distance traveled in Stage A, and the distance for Stage C, noting errors in their initial answers. The issue was attributed to algebraic mistakes in applying the equations of motion.
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1. In Jan. 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages:?
Stage A: Friction with the atmosphere reduced the speed from 19300 km/h to 1600 km/h in 4.0 min.
Stage B: A parachute then opened to slow it down to 321 km/h in 94 s.
Stage C: Retro rockets then fired to reduce its speed to zero over a distance of 75 m.
Assume that each stage followed immediately after the preceding one and that the acceleration during each stage was constant.1.Find the rocket's acceleration (in m/s^2 ) during stage C.

2.What total distance (in m} did the rocket travel during stage A?

3.What total distance (in km) did the rocket travel during stage C?

V1= V0 + a1T
x-x0= V0T + 1/2a1T6
(V1)^2- (V0)^2 = 2a1(T^2)(x-x0)
a1= acceleration T=time Vo=initial velocity x,x0= position, initial position

The last question isn't that just 75 m converted to KM? I put that in and I got the answer wrong. Also for #1 I got -0.05 and I got that wrong too. And for #2 I got 356m and got that wrong too. I used the above equations to get all of these answers. What am i doing wrong? Please Help. Thanks
 
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Hi fuhgidabowdit,

fuhgidabowdit said:
1. In Jan. 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages:?
Stage A: Friction with the atmosphere reduced the speed from 19300 km/h to 1600 km/h in 4.0 min.
Stage B: A parachute then opened to slow it down to 321 km/h in 94 s.
Stage C: Retro rockets then fired to reduce its speed to zero over a distance of 75 m.
Assume that each stage followed immediately after the preceding one and that the acceleration during each stage was constant.


1.Find the rocket's acceleration (in m/s^2 ) during stage C.

2.What total distance (in m} did the rocket travel during stage A?

3.What total distance (in km) did the rocket travel during stage C?




V1= V0 + a1T
x-x0= V0T + 1/2a1T6
(V1)^2- (V0)^2 = 2a1(T^2)(x-x0)
a1= acceleration T=time Vo=initial velocity x,x0= position, initial position




The last question isn't that just 75 m converted to KM? I put that in and I got the answer wrong. Also for #1 I got -0.05 and I got that wrong too.





Looking at #1, how did you get -0.05 (and what numbers did you use to get it)?
 
hey thanks for replying. I figured out what I was doing wrong. It was just some stupid algebraic mistakes.
 
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