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Answer :
The upward acceleration of the rocket due to burning fuel is approximately 32.53 m/s².
To solve this problem, we can use the equations of motion for uniformly accelerated motion. We'll consider the rocket's motion in the vertical direction, assuming upward motion as positive.
Let's denote:
u = initial velocity (0 m/s as the rocket starts from rest)
v = final velocity (488 m/s)
t = time taken (15 seconds)
a = acceleration (unknown)
The equation we'll use is:
v = u + at
Substituting the given values into the equation:
488 m/s = 0 m/s + a * 15 s
We can solve this equation for the acceleration (a):
a = 488 m/s / 15 s
a ≈ 32.53 m/s²
Therefore, the upward acceleration of the rocket due to burning fuel is approximately 32.53 m/s².
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