- #1
rocomath
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A rocket is fired vertically and ascends with constant acceleration a=100m/s^2 for 1min. At that point, the rocket motor shuts off and the rocket continues upward under the influence of gravity.
a) Find the maximum altitude acquired by the rocket
b) The total time elapsed from the take-off until the rocket returns to the earth
Ignore air resistance.
a) The maximum height can be found through setting velocity equal to zero, and the integral of acceleration is velocity.
[tex]\int_0^Ta(t)dt=\int_0^{60}a(t)dt+\int_{60}^Ta(t)dt=0[/tex]
[tex]\int_0^Ta(t)dt=\int_0^{60}100dt-\int_{60}^T9.8dt=0[/tex]
T=672.244898s
Is (a) good so far?
a) Find the maximum altitude acquired by the rocket
b) The total time elapsed from the take-off until the rocket returns to the earth
Ignore air resistance.
a) The maximum height can be found through setting velocity equal to zero, and the integral of acceleration is velocity.
[tex]\int_0^Ta(t)dt=\int_0^{60}a(t)dt+\int_{60}^Ta(t)dt=0[/tex]
[tex]\int_0^Ta(t)dt=\int_0^{60}100dt-\int_{60}^T9.8dt=0[/tex]
T=672.244898s
Is (a) good so far?
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