Question

A probe has been launched vertically from the surface of Mars. At time t 0, it has reached a height of y1,0 320 m, and is moving upward at vy10 80 m/s when its engines cut out. At the same moment, the mother ship is y20 1500 m from the Martian surface, moving down directly toward the probe at 25 m/s and slowing down at the rate of 0.80 m/s2. On the surface of Mars, the gravitational acceleration is gMars-3.72 m/s. (The probe is Object #1, and the ship is Object #2.) a) Sketch graphs (y vs. t, v, vs. t, and ay vs. t) for the motion of the probe and the ship, putting both objects' motion on each graph. Align your graphs vertically so that the horizontal (time) axes are all the same. b) When will the ship reach the probe? c) How high above the surface of Mars will the first rendezvous (crossing) occur?

Answer 1

Let Ship sneach the probe at tme t, them lo 5ti-1.9妤ニ//8s...".· aCI-a もニ 15-70 sec , For the motien of pro.be ye..= 32cm 2 - 86 t2 +8o(15-79-1-86 (15 . 70%-1117 ti: 320 yit at =1118 m ar he ニー25m/s se becau x i+і..s douon wand γetondationim downward dnechent, mean arceleration in upoand orechen

fHoe た。 12 t 24/t (sec) 屯 18 as Omls2

5) Ship seach the Pre be at t-ti-e l 5、70. Sec 2) Height- ブ. - 21-6ms = 12-44 ve because it)b-downward
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