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Acceleration as a Vector

Acceleration as a Vector

Acceleration as a Vector

The "direction" of acceleration is whether acceleration is positive or negative.

Acceleration is a vector ** quantity*, which means it has both a magnitude and a direction.*

Acceleration is a vector quantity, so it has both a magnitude and a direction

1

This woman is going from a speed of 3 m/s3 \space m/s to a speed of 7 m/s7 \space m/s. Is she speeding up or slowing down?

2

The woman is speeding up from 3 m/s3 \space m/s to 7 m/s7 \space m/s

She does that over the course of just one second, so her acceleration is 4 m/s24 \space m/s^2

3

Now the woman is going from a speed of 7 m/s7 \space m/s to 3 m/s3 \space m/s. Is she speeding up or slowing down?

4

The woman is now slowing down again from 7 m/s7 \space m/s to 3 m/s3 \space m/s

She does that over the course of just one second, so her acceleration is now 4 m/s2-4 \space m/s^2

Acceleration's "direction"

1

What do you think we mean by the "direction" of acceleration?

2

When an object is speeding up, acceleration is _______________.

3

When an object is slowing down, acceleration is _______________.

Summary!

1

So the "direction" of acceleration refers to whether acceleration is positive or negative

If positive, like 4 m/s24 \space m/s^2, the object is speeding up. If negative, like 4 m/s2-4 \space m/s^2, the object is slowing down.