Mars Landing. In January 2004. NASA landed exploration vehicles on Mars. Pan of

Question

Mars Landing. In January 2004. NASA landed exploration vehicles on Mars. Pan of the descent consisted of the following stages: Stage A: Friction with the atmosphere reduced the speed from 19.3(H) km/h to 16(H) km/h in 4.0 min. Stage A: 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. (a) Find the rocket's acceleration (in m/s2) during each stage. (b) What total distance (in km) did the rocket travel during stages A. B. and C?

Explanation / Answer

acceleration in stage 1=((1600-19300)*5/18)/(4*60)=-20.4m/s^2 acceleration in stage 2=((321-1600)*5/18)/94=-3.78m/s^2 for 3rd stage 0=(321*5/18)^2-2a*75 a=-52.99m/s^2 distance travelled in stage 1=19300*5/18*240-.5*20.4*240*240=699.15km distance travelled in stage 2=1600*5/18*94-.5*3.78*94*94=25.07 km distance travelled in 3rd stage=.075km

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