Question

A leaf falls from a tree from a height of 20 m. Assuming no air resistance, how long will it take for the leaf to hit the ground?

a) 2 seconds
b) 2.04 seconds
c) 2.45 seconds
d) 2.83 seconds

Answer 1

The leaf will take approximately 2.04 seconds to hit the ground.

Step-by-step explanation:

When an object is dropped, it falls due to the force of gravity. In this case, the leaf falls from a height of 20 m. The time it takes for an object to fall from a certain height can be calculated using the formula:

t = sqrt(2h/g)

where t is the time, h is the height, and g is the acceleration due to gravity. Plugging in the given values:

t = sqrt(2 * 20 / 9.8) ≈ 2.04 seconds

Therefore, the correct answer is (b) 2.04 seconds.