To determine the depth of a well, a person holds a penny at rest, drops it, and measures the time it takes for it to hit the water. If the time is 1.4 s, what is the depth of the well? Neglect air resistance.
A.14 m
B.52 m
C.26 m
D.32 m
E.10 m
what is 1/2 g t^2
what does that answer mean? i do not understand
depth= 1/2 (9.8m/s^2)(time^2)
To determine the depth of the well, we can use the equation for free fall motion:
d = 0.5 * g * t^2
Where:
- d represents the depth of the well.
- g represents the acceleration due to gravity (approximately 9.8 m/s^2 on Earth).
- t represents the time it takes for the penny to hit the water.
In this case, we are given the time t as 1.4 seconds. By plugging the values into the equation, we can find the depth of the well:
d = 0.5 * 9.8 * (1.4)^2
= 0.5 * 9.8 * 1.96
= 9.61 meters
So, the depth of the well is approximately 9.61 meters.
Looking at the answer choices:
A. 14 m
B. 52 m
C. 26 m
D. 32 m
E. 10 m
The closest answer to the calculated value of 9.61 m is option E, 10 m.