6. The vertical acceleration of a certain solid-fuel rocket is given by a = a=ke-bt -cv-g, where k, b and c are constants, v is the vertical velocity acquired, and g is the gravitational acceleration, essentially constant for atmospheric flight. The exponential term represents the effect of a decaying thrust as fuel is burned, and the term -cv approximates the retardation due to

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6. The vertical acceleration of a certain solid-fuel rocket is given by a = keht - cv-g, where k, b
-bt
and c are constants, v is the vertical velocity acquired, and g is the gravitational acceleration,
essentially constant for atmospheric flight. The exponential term represents the effect of a
decaying thrust as fuel is burned, and the term -cv approximates the retardation due to
Transcribed Image Text:6. The vertical acceleration of a certain solid-fuel rocket is given by a = keht - cv-g, where k, b -bt and c are constants, v is the vertical velocity acquired, and g is the gravitational acceleration, essentially constant for atmospheric flight. The exponential term represents the effect of a decaying thrust as fuel is burned, and the term -cv approximates the retardation due to
atmospheric resistance. Determine the expression for the vertical velocity of the rocket t
seconds after firing.
= ²² (e-ª-1) +-
C
[Answer: v=5
k
-")]
e -e
Transcribed Image Text:atmospheric resistance. Determine the expression for the vertical velocity of the rocket t seconds after firing. = ²² (e-ª-1) +- C [Answer: v=5 k -")] e -e
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