Question

An object is dropped at a height of 5.5 m. How long does it take to hit the ground?

A. Approximately 1.1 seconds
B. Approximately 2.5 seconds
C. Approximately 3.8 seconds
D. Approximately 5.5 seconds

Answer 1

The object takes approximately 1.1 seconds to hit the ground when dropped from a height of 5.5 m.

Step-by-step explanation:

In this scenario, the object is being dropped from a height of 5.5 m, so we can use the equation:

h = (1/2)gt^2

Where:

• h is the initial height (5.5 m)
• g is the acceleration due to gravity (9.8 m/s^2)
• t is the time it takes to hit the ground (unknown)

Rearranging the equation to solve for t, we get:

t = sqrt((2h)/g)

Substituting the given values, we can calculate the time it takes to hit the ground:

t = sqrt((2(5.5))/9.8) ≈ 1.1 seconds

Therefore, the correct answer is option A. Approximately 1.1 seconds.