Question

How far would you travel moving at 12 m/s for 3.00 minutes?

Answer 1

Hint: The magnitude of the rate of change of an item's position with time or the magnitude of change of its position per unit of time is the speed (often referred to as v) of an item in daily use and in kinematics; it is therefore a scalar number. The average speed of an object in a given time interval is the item's distance travelled divided by the period's duration; the instantaneous speed is the average speed's limit as the interval's length approaches zero.
  $ {\text{Speed = }}\dfrac{{{\text{Distance}}}}{{{\text{time}}}} $

Complete answer:
The distance travelled per unit of time is known as linear speed, but the linear speed of anything travelling in a circular direction is known as tangential speed. In one complete rotation, a point on the outside edge of a merry-go-round or turntable travels a larger distance than a point closer to the centre. Linear speed is larger on the outside edge of a spinning item than it is closer to the axis because you may go a longer distance in the same amount of time.
We know that $ {\text{Speed = }}\dfrac{{{\text{Distance}}}}{{{\text{time}}}} $
 $ \therefore Distance{\text{ }} = {\text{ }}Speed{\text{ }} \times {\text{ }}Time $
Putting the values we get
 $ Distance{\text{ }} = {\text{ }}12{\text{ m/s }} \times 3\,\min \, $
Converting minute into second we get
 $ Distance{\text{ }} = {\text{ }}12{\text{ }}m/s{\text{ }} \times {\text{ 3 }} \times {\text{ }}60{\text{ }}sec $
Finally we get
 $ Distance{\text{ }} = {\text{ 2160 }}m $
Hence the distance travelled moving at 12 m/s for 3.00 minutes is 2160 meter.

Note:
Distance is a numerical representation of the distance between two objects or locations. Distance can refer to a physical length or an estimate based on other factors in physics or common use (e.g. "two counties over"). In most circumstances, "distance from A to B" and "distance from B to A" are equivalent. A distance function, often known as a metric, is a mathematical generalisation of the idea of physical distance; it is a way of explaining what it means for components in a space to be "near to" or "far away" from one another.