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A car of mass 1460 kg is on an icy driveway inclined at an angle of 33â—¦. The acceleration of gravity is 9.8 m/s^2. If the incline is frictionless, what is the acceleration of the car?Answer in units of m/s^2

Respuesta :

Answer:

5.3 m/s^2 (rounded)

Explanation:

I GOT YOU DAVID!

9.8 x sin(33) = 5.33746254 m/s^2

The acceleration of the car along the frictionless incline is 5.3374m/s

Since the acceleration of the car along the incline if the incline is frictionless is expressed as;

[tex]a_y=asin\theta[/tex]

Given the following:

a = 9.8 m/s²

[tex]\theta[/tex] = 33 degrees

Substituting the given parameters into the formula;

[tex]a_y=9.8sin33^0\\a_y=9.8(0.5446)\\a_y=5.3374m/s^2[/tex]

Hence the acceleration of the car along the frictionless incline is 5.3374m/s²

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