Meters per second squared:
![\frac{m}{s^{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%20%20)
If you think about it, acceleration is about how fast speed changes. Speed is measured in meters per second:
![\frac{m}{s}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bm%7D%7Bs%7D%20)
So if you take that and just measure it over time, you get meters per second squared.
The object's final velocity, given the data is 10.5 rad/s
<h3>What is acceleration? </h3>
This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
- a is the acceleration
- v is the final velocity
- u is the initial velocity
- t is the time
<h3>How to determine the final velocity</h3>
The following data were obtained from the question
- Initial velocity (u) = 1.5 rad/s
- Acceleration (a) = 0.75 rad/s²
- Time (t) = 12 s
- Final velocity (v) = ?
The final velocity can be obtained as follow:
a = (v – u) / t
0.75 = (v – 1.5) / 12
Cross multiply
v – 1.5 = 0.75 × 12
v – 1.5 = 9
Collect like terms
v = 9 + 1.5
v = 10.5 rad/s
Thus, the final velocity of the object is 10.5 rad/s
Learn more about acceleration:
brainly.com/question/491732
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