RockIt

Level pending

A rocket is launched from a land-based site vertically with an acceleration \(\displaystyle a=\alpha { t }^{ 2 }\) , with \(\displaystyle \alpha =1{ m }/{ { s }^{ 4 } }\) . At an altitude 100km above Earth's surface the rocket's boosters fail. How much time will pass (from the moment the boosters failed) before the rocket crashes? Air drag is ignored. The initial velocity is 0.

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