Question

Determine how long it will take until the rocket reaches macimum height

A small rocket of weight 1.2 lbs is launched vertically with thrust 7 lbs from a stand on the ground at timet -0 seconds. It has a constant thrust for the first second, then no thrust after that. We will assume no air friction and ignore the mass change of the rocket for now. Determine how long it will take until the rocket reaches maximum height

Answer 1

Mass of rocket, ma g 102 sing 32.2 12 slug, 322 ?T=71b8 W=102168 Net force on the rocker for first second Emera Te T-was.& Us 5.8 > mx a nch -> = ner S. 8 x 322 3413² 155. 63 f482 u. Velocity of socket axta 155 ftte 155.63f4e at t 1 sec V t=1 When rocket reaches max. height Velocity, o=0 tising Time rear for rocker max neight and then stop a can be found using to reach v=utal- > V = Y, - gxt 02 155.63- 32.2 xt 155.63 & 2 a 4.83 & 3202 t 1+ 4.83 may height, total reach . Total time to 5.83 seconds,