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The acceleration of a certain rocket is given by ax= bt, where b is a positive...

The acceleration of a certain rocket is given by ax= bt, where b is a positive constant.

(a) Find the position function x(t) if x = x0 and v0 at t = 0. (Use the following as necessary: x0, v0, b, and t.)
x(t) =



(b) Find the position and velocity at t = 7.9 s if x0 = 0, v0 = 0 and b = 3.3 m/s3.
x(7.9 s) =  m
v(7.9 s) =  m/s

(c) Compute the average velocity of the rocket between t = 7.4 s and 8.4 s at t = 7.9 s if x0 = 0, v0 = 0 and b = 3.3 m/s3.
vavg =  m/s
Is this average velocity in good agreement with the instantaneous velocity at t = 7.9 s?

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Answer #1

iven, a age a bt 2. Onteg saion constants 3 3.3 7.9 7.93 χ(1.9): ATI, 17 m) 2- D(8.4) -(33-) (8,4) 116-42. o2 90,35 +116.42 - Jo6. 77 va 103.38m/ASe 104.97 mlseeYes we can patat average velody good aqseemet with instan eous velo al 79see, be cave there is vey smale deviaton betveen (ra

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