A race car moving along a circular track has a centripetal acceleration of 12 m/s. If the distance between the car and the center of the track is 40 m, what is the speed
of the car?

The speed of the car is 21.91 m/s

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration experienced by an object in a uniform circular motion.

It always points toward the center of rotation and is perpendicular to the linear velocity v.

The magnitude of the centripetal acceleration is:

Where r is the radius of rotation.

The race car has a centripetal acceleration of and the radius of rotation is r=40 m.

We can calculate the speed of the car by solving the above equation for v:

The speed of the car is 21.91 m/s

4096 bacteria

step-by-step explanation:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i