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11] Spaceman Spiff is turns off his retro-rockets and begins dropping to the surface of Planet X, home to

trillions of hideous space monsters At first, Spiff's velocity is 20 m/s downward. He glances at the controls
again and finds that his velocity is now 99.6 m/s downward. The acceleration of a falling object on Planet X
is gran = 17.6 m/s? How much time must have passed between the two speed measurements?
Q: What formula will you use? (write it here!!):
Q: Are the time or velocity units consistent with the acc.
units?? Yes No
AV =
AT =
A =
Q. The answer (with units!) is:

1 Answer

5 votes
The formula that can be used to solve this problem is the kinematic equation:

Vf = Vi + At

where:
Vf = final velocity
Vi = initial velocity
A = acceleration
t = time

To find the time passed between the two speed measurements, we can rearrange the formula as follows:

t = (Vf - Vi) / A

Given:
Vi = 20 m/s (initial velocity)
Vf = 99.6 m/s (final velocity)
A = 17.6 m/s² (acceleration)

Substituting the values into the formula:

t = (99.6 - 20) / 17.6

t ≈ 4.68 seconds

Therefore, the time that must have passed between the two speed measurements is approximately 4.68 seconds.

Q: Are the time or velocity units consistent with the acceleration units?
A: Yes, the time units (seconds) and velocity units (meters per second) are consistent with the acceleration units (meters per second squared).
User Joeltine
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