To calculate the distance covered by an object from time 5 seconds to 12 seconds, we need to analyze its motion, which can often be described by a mathematical equation.
Understanding the Motion
- The distance traveled by an object can be determined using the formula:
\[ \text{Distance} = \text{final position} - \text{initial position} \]
- If the object is in uniform motion, then the distance can also be calculated using:
\[ \text{Distance} = \text{speed} \times \text{time} \]
Given Parameters
- Initial time (t1): 5 seconds
- Final time (t2): 12 seconds
- Total time interval: \( t2 - t1 = 12s - 5s = 7s \)
- Assumed speed (v): For this example, let’s say the object is moving at a constant speed of 10 m/s.
Calculating Distance
- Using the speed to calculate distance:
\[ \text{Distance} = \text{speed} \times \text{time} \]
\[ \text{Distance} = 10 \, \text{m/s} \times 7 \, \text{s} = 70 \, \text{meters} \]
Conclusion
- The object covers a distance of 70 meters from 5 seconds to 12 seconds under the assumption of a constant speed of 10 m/s.
- If the speed varies, one would need to integrate the speed function over the interval \([5, 12]\) seconds to find the accurate distance.