Final answer:
The distance d as a function of time t when an object is moving at a constant speed of 3.7 m/s is given by the function d(t) = 3.7 * t. This allows us to calculate the distance traveled by simply multiplying the speed by the time elapsed.
Step-by-step explanation:
Finding Distance as a Function of Time
To find the distance
d
that an object covers while moving at a constant speed as a function of time
t
, we use the formula
d(t) = Speed * Time
. Given that the object is moving at a constant speed of 3.7 meters per second, the function d(t) expressing distance as a function of time is simply
d(t) = 3.7 * t
, where d(t) is in meters and t is the time in seconds.
If we wish to calculate the distance traveled after a certain amount of time, we can plug the time value into the function. For example, after 5 seconds, the distance traveled would be d(5) = 3.7 * 5 = 18.5 meters.
Importance of Understanding Motion
Understanding the relationship between distance, velocity, and time is fundamental in physics. This knowledge can help us predict the future position of objects in motion and solve practical problems related to travel, engineering, and science.