# Question: Let s investigate a possible vertical landing on Mars that includes

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?

**View Solution:**## Answer to relevant Questions

You are driving slowly in the right lane of a straight country road. For a while, a car to your left has lagged 50.0 m behind you at the same speed of 25.0 mi/h. Suddenly that car speeds up and passes you, traveling at a ...The interstate distance between two cities is 150 km. (a) If you drive the distance at the legal speed limit of 65 mi/h, how long would the trip take? (b) Suppose on the return trip you pushed it up to 80 mi/h (and ...Are any of the vectors in Fig. 3.23 equal? Using the triangle method, show graphically that (a) A-bar + B-bar = B-bar + A-bar and (b) If A-bar – B-bar = C-bar, then A-bar = B-bar + C-bar Two vectors are given by A-bar = 4.0 X-bar – 2.0 y-bar and B-bar = 1.0 x-bar + 5.0 y-bar. What is (a) A-bar + B-bar, (b) B-bar – A-bar, and (c) A vector such that A-bar + B-bar + C-bar = 0?Post your question