During launches, rockets often discard unneeded parts. A certain rocket starts from rest on the launch pad and accelerates upward at a steady 3.40 m/s2 . When it is 245 m above the launch pad, it discards a used fuel canister by simply disconnecting it. Once it is disconnected, the only force acting on the canister is gravity (air resistance can be ignored).How high is the rocket when the canister hits the launch pad, assuming that the rocket does not change its acceleration?

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Asked Oct 22, 2019
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During launches, rockets often discard unneeded parts. A certain rocket starts from rest on the launch pad and accelerates upward at a steady 3.40 m/s2 . When it is 245 m above the launch pad, it discards a used fuel canister by simply disconnecting it. Once it is disconnected, the only force acting on the canister is gravity (air resistance can be ignored).

How high is the rocket when the canister hits the launch pad, assuming that the rocket does not change its acceleration?
 
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Given Rocket is at rest on launch pad; uzo accelerotion, a = 304 mls2 At 245m aboue launch pad it discards caniste a used fue

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Ve locty of the jocket at 245sm height is vu2as vo 2(34) (245) V= 40. 8 mls Veloaty of the canistor after dis connecting wll be same V 0.8 mls upayds as uelouty of Yocket

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Time teken by the conisten to hit the ground Aften disconnection, u40-8 -45 (O-8/t(.81)t a t9.8 TER the above equation, Solving we get 245m time t 12.36 seconds GYOund CAz-

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