Constant acceleration problem involving NASA exploration vehicle.

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SUMMARY

The discussion centers on the calculations involved in the descent stages of NASA's exploration vehicles on Mars, specifically focusing on the acceleration during stage C and the distances traveled during stages A and C. The calculations utilize kinematic equations, including V1 = V0 + a1T and x - x0 = V0T + 1/2a1T^2. Participants identified errors in their calculations, such as incorrect algebraic manipulation, leading to incorrect results for acceleration and distance. The correct approach involves careful application of the equations and unit conversions.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic algebra skills for manipulating equations
  • Knowledge of unit conversions (e.g., km/h to m/s)
  • Familiarity with acceleration concepts in physics
NEXT STEPS
  • Review the kinematic equations for constant acceleration
  • Practice unit conversions, particularly speed from km/h to m/s
  • Learn about the physics of deceleration and its applications in aerospace
  • Explore common algebraic mistakes in physics calculations and how to avoid them
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Students studying physics, aerospace engineers, and anyone interested in the calculations behind space exploration vehicle descents.

fuhgidabowdit
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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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