Answer: If the object travels 3.2 meters in 2 seconds, it would take 4.34 seconds to travel 15 meters.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The distance traveled by an object falling freely is proportional to the square of the time passed after the release of the object.
Mathematically speaking:
d = k t²
Where:
d = distance
t = time
k = constant
We have to find the value of "k", using the values of "d" and "t" given .
3.2 = k 2²
3.2 = k 4
3.2 / 4 =k
0.8 = k
Finally, to find the time that takes travel 15 meters:
d = 0.8 t²
15 = 0.8 t²
15/0.8 = t²
√18.75 =t
t= 4.34 seconds
If the object travels 3.2 meters in 2 seconds, it would take 4.34 seconds to travel 15 meters.
