Final answer:
To calculate the time it takes for a penny to reach the ground when dropped from height h, the equation t = √(2h/g) is used, where g is the acceleration due to gravity (9.8 m/s²). Without the initial height h, we cannot provide a specific time for the penny to reach the ground. So, the best answer is e, none of them.
Step-by-step explanation:
To calculate the time t it takes for a penny to reach the ground after being dropped from an initial height h with no air resistance, we can use the kinematic equation for free fall:
h = ½ g t²
This equation represents the distance h an object falls solely under the influence of gravity, where g is the acceleration due to gravity (9.8 m/s²) and t is the time it takes to reach the ground.
To solve for t, we rearrange the equation to get:
t = √(2h/g)
Unfortunately, without the initial height h provided, we cannot calculate the exact time t. The correct answer would require the known value of h.
However, the reference information provided includes some unrelated examples, such as:
The time an object takes to rise and fall, or the time a projectile spends in the air, both influenced by the same gravitational acceleration, even when velocity is zero at the top of its path.
So, the best answer is e, none of them.
Q: At an initial height ℎ above the ground, a penny is dropped in the absence of air resistance. Assuming gravitational acceleration on Earth (g) is approximately 9.8 m/s², calculate the time it takes for the penny to reach the ground. Choose the correct option from the following:
A) t=5.72 seconds
B) t=8.00 seconds
C) t=9.89 seconds
D) t=10.95 seconds"
E) none of them