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Cfem
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(I apologize in advance if this should have been merged with my other topic.
A 1000kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16s, then the motor stops. The rocket altitude 20s after launch is 5100m. You can ignore any effects of air resistance.
A) What was the rocket's acceleration during the first 16s?
B) What is the rocket's speed as it passes through a cloud 5100m above the ground?
d = vi(t) + (1/2)(a)(t2)
5100 = dtotal
dfirst = 0 + (1/2)(a)(162)
dsecond = v0 - (1/2)(9.8)(16)
v0 = 16a
So the combining the equations:
dtotal = dfirst + dsecond
5100 = 0 + (1/2)(a)(162) + v0 - (1/2)(9.8)(16)
5100 = 128a + 16a - 78.4
5178.4 = 144a
a = 35.96
Now, our homework is checked automatically, so I'm not sure if I'm rounding incorrectly or what, but any help would be appreciated.
Homework Statement
A 1000kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 16s, then the motor stops. The rocket altitude 20s after launch is 5100m. You can ignore any effects of air resistance.
A) What was the rocket's acceleration during the first 16s?
B) What is the rocket's speed as it passes through a cloud 5100m above the ground?
Homework Equations
d = vi(t) + (1/2)(a)(t2)
The Attempt at a Solution
5100 = dtotal
dfirst = 0 + (1/2)(a)(162)
dsecond = v0 - (1/2)(9.8)(16)
v0 = 16a
So the combining the equations:
dtotal = dfirst + dsecond
5100 = 0 + (1/2)(a)(162) + v0 - (1/2)(9.8)(16)
5100 = 128a + 16a - 78.4
5178.4 = 144a
a = 35.96
Now, our homework is checked automatically, so I'm not sure if I'm rounding incorrectly or what, but any help would be appreciated.