Question

A minivan starts from rest on the road whose constant radius of curvature is 40 meters and whose bank angel is 10 degrees. the motion occurred in a horizontal plane. If the constant forward acceleration of the minivan is 1.8 m/s², determine the magnitude a of it's total acceleration 5 second after starting.

Answer 1

Based on the calculations, the magnitude (a) of it's total acceleration is equal to 2.71 m/s².

Given the following data:

• 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).

• Time, t = 5 seconds.

How to determine the magnitude (a) of it's total acceleration?

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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