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).