The magnitude of a velocity vector is 60 m/s.
To find the magnitude, the given values are,
x - components = 36 m/s
y - components = 48 m/s
<h3>What is magnitude?</h3>
- The term magnitude can be defined as “ quantity ”.
- For instance, the magnitude can be used for describing about the comparison of speeds.
- It can also be used to explain the distance travelled by an object or to explain the amount of an object in terms of its magnitude.
- Magnitude of the velocity vector is total value which is square root of the value.
The magnitude of the vector can be,
| a | = √ ( x² + y² )
Substituting the values of x component and y component given,
= √ ( 36² + 48² )
= √ ( 1296 + 2304)
= √ 3600
= 60 m/s
The magnitude is found to be 60 m/s.
Hence, Option B is the correct answer.
Learn more about magnitude,
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Answer:
Approximately 
.
Explanation:
This question suggests that the rotation of this object slows down "uniformly". Therefore, the angular acceleration of this object should be constant and smaller than zero.
This question does not provide any information about the time required for the rotation of this object to come to a stop. In linear motions with a constant acceleration, there's an SUVAT equation that does not involve time:
,
where
is the final velocity of the moving object, 
is the initial velocity of the moving object,
is the (linear) acceleration of the moving object, and
is the (linear) displacement of the object while its velocity changed from to .
The angular analogue of that equation will be:
, where
and 
are the initial and final angular velocity of the rotating object,
is the angular acceleration of the moving object, and
is the angular displacement of the object while its angular velocity changed from to .
For this object:
, whereas
.
The question is asking for an angular acceleration with the unit 
. However, the angular displacement from the question is described with the number of revolutions. Convert that to radians:
.
Rearrange the equation and solve for :
.
