Question

1. Motion in one dimension:
   1. In 2014, Orbital Sciences launched a private rocket into space to resupply the International Space Station. Unfortunately, because of Orbital Sciences’s decision to use 1960s era rocket engines that they purchased from an old Russian warehouse, the launch was a failure. If 95 seconds elapsed between the time the rocket was launched and the rocket hit the ground, calculate the maximum height of the rocket.
   2. Calculate the initial and final velocity of the rocket.
   3. While the rocket is being transported on a Siberian train, it malfunctions and fires horizontally. If the rocket malfunctions on the Komsomolsk-on-Amur bridge 24 m above the river, how long will it take the rocket to hit the ground and how far will it travel before it explodes.
   4. When the rocket explodes, the blast has a radius of 498 m. If the rocket launches due east, will a church 200 m south of the bridge be spared or incinerated?
   5. When the rocket explodes on the ground, it launches a Lada into the air at a 24˚ angle with a velocity of 55.6 m/s. How far will the Lada travel and how long will it remain airborne?

Answer 1

height h (a) Time Soken 2o Seach manimum 55-ヒh ニ 2 &ounch u Cet initial speed of his Speed at height zero V uIg u9.2x*47.5 65.5ml he ut M 8.734 9.24.5) 465.5x 4. 2 h 1 55 6 m iniial speed 465.5m/s considenmg jounney fnon maximumheight Now h to ground and inifial velociAy Final velociAy ot gnaund at height max 9-8 49-5 gt Vこ 465.6 m/s

and initial velocty height at max 9.8K47-5 465.5 m/s 2h 2x24 9.9 ime & 2.213 s partb inikial sped we consiodon >ome os disfonce ravelled beone hiting honizontal Then ground 465.5x 2-213 R = ut R= 103o)Sm (d) pared uill be The chunch (2) Distonce tnavelled R usin 20 ue 55.6m 2 R-(55 6 sin(2x 24) - 234.y m 2u sin 9 Time = 2x55-6 x Sin24 4.6 5