A 200 kg weather rocket is loaded with 100 kg of fuel andfired straight up. It a

Question

A 200 kg weather rocket is loaded with 100 kg of fuel andfired straight up. It accelerates upward at 30 m/s2 for30 s, then runs out of fuel. Ignore any air resistance. What is the rocket's maximum altitude? My attempt at the solution: first I thought to find out thevelocity. So I plugged in the number into the equationvf = v0 + 2ax. Then, after findingacceleration, I plugged the numbers into the formula: vf2 =v02 + 2ax. I ended up with13,500 m. But the answer should be 54.8 km. Please enlighten me. A 200 kg weather rocket is loaded with 100 kg of fuel andfired straight up. It accelerates upward at 30 m/s2 for30 s, then runs out of fuel. Ignore any air resistance. What is the rocket's maximum altitude? My attempt at the solution: first I thought to find out thevelocity. So I plugged in the number into the equationvf = v0 + 2ax. Then, after findingacceleration, I plugged the numbers into the formula: vf2 =v02 + 2ax. I ended up with13,500 m. But the answer should be 54.8 km. Please enlighten me.

Explanation / Answer

Initial velocity of the rocket=0

Final velocity in the first phase of of its motion bev1

Initial acceleration a=30m/s2

Time for which the rocket is accelerated, t1=30s

After the rocket runs out of fuel, it moves up through adistance s2  before its final velocity v becomeszero.

And final velocity is zero

   

  

  

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