1 .A toy rocket, launched from the ground, risesvertically with an acceleration

Question

1 .A toy rocket, launched from the ground, risesvertically with an acceleration of 31 m/s2   for
6.2s until itsmotor stops.The accerelation of gravity is 9.8 m/s2.Disregarding any air resistance, what maximum height above theground will the rocket achieve?. Answer in units of km 1 .A toy rocket, launched from the ground, risesvertically with an acceleration of 31 m/s2   for
6.2s until itsmotor stops.The accerelation of gravity is 9.8 m/s2.Disregarding any air resistance, what maximum height above theground will the rocket achieve?. Answer in units of km

Explanation / Answer

phase1 ------------ velocity acquired at the end of 6.2sec v=0+31*6.2=192.2m/sec distance ie height to which it moves in 6.2sech1=0+1/2*31*6.1*6.1=576.755m phase2 ----------- u=192.2m/sec g=-9.8m/sec*sec maximum height=u*u/2g=192.2*192.2/19.6=1884.73m total height from the ground=576.755+1884.73=2461.485m=2.461485km

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