228k views
5 votes
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
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.