Underline the words then eliminate the ones that arent part of the problem!
Vectors are used to represent physical magnitudes that have an associated address. For example, if we want to represent the displacement of an object, it is not enough to describe only the distance as 10 meters, it is also necessary to describe in which direction the displacement occurred, for example, 30 ° towards the northeast.
Therefore the vectors are measured in one or several dimensions that include a magnitude and an address.
The correct option is the last:
"<em>a measurement in more than one dimension that includes a magnitude and a direction</em>"
Answer:
Approximately 
, assuming friction between the vehicle and the ground is negligible.
Explanation:
Let 
denote the mass of the vehicle. Let 
denote the initial velocity of the vehicle. Let 
denote the spring constant (needs to be found.) Let 
denote the maximum displacement of the spring.
Convert velocity of the vehicle to standard units (meters per second):
.
Initial kinetic energy (
) of the vehicle:
.
When the vehicle is brought to a rest, the elastic potential energy (
) stored in the spring would be:
.
By the conservation of energy, if the friction between the vehicle and the ground is negligible, the initial 
of the vehicle should be equal to the 
of the vehicle. In other words:
.
Rearrange this equation to find an expression for , the spring constant:
.
Substitute in the given values 
, 
, and 
:
