# Question

Let’s investigate a possible vertical landing on Mars that includes two segments: free fall followed by a parachute deployment. Assume the probe is close to the surface, so the Martian acceleration due to gravity is constant at 3.00 m/s2. Suppose the lander is initially moving vertically downward at 200 m/s at a height of 20 000 m above the surface. Neglect air resistance during the free-fall phase. Assume it first free falls for 8000 m. (The parachute doesn’t open until the lander is 12 000 m from the surface. See Fig. 2.29.)

(a) Determine the lander’s speed at the end of the 8000-m free-fall drop.

(b) At 12 000 m above the surface, the parachute deploys and the lander immediately begins to slow. If it can survive hitting the surface at speeds of up to 20.0 m/s, determine the mini-mum constant deceleration needed during this phase.

(c) What is the total time taken to land from the original height of 20 000 m?

(a) Determine the lander’s speed at the end of the 8000-m free-fall drop.

(b) At 12 000 m above the surface, the parachute deploys and the lander immediately begins to slow. If it can survive hitting the surface at speeds of up to 20.0 m/s, determine the mini-mum constant deceleration needed during this phase.

(c) What is the total time taken to land from the original height of 20 000 m?

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