Based on the calculations, the magnitude (a) of it's total acceleration is equal to 2.71 m/s².
<u>Given the following data:</u>
- Angle of inclination = 10°.
- Radius of curvature, r = 40 meters.
- Acceleration of the minivan, A = 1.8 m/s².
- Initial velocity, u = 0 m/s (since it's starting from rest).
<h3>How to determine the magnitude (a) of it's total acceleration?</h3>
First of all, we would determine the final velocity of the minivan by applying the first equation of motion as follows:
V = u + at
V = 0 + 1.8 × 5
V = 9 m/s.
Next, we would calculate the centripetal acceleration of this minivan:
Ac = V²/r
Ac = 9²/40
Ac = 2.025 m/s².
Now, we can determine the magnitude (a) of it's total acceleration:
a = √(Ac² + A²)
a = √(2.025² + 1.8²)
a = 2.71 m/s².
Read more on acceleration here: brainly.com/question/24728358
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