Final answer:
Using the kinematic equation for free-falling objects, it takes approximately 0.77 seconds for a banana to fall from a height of 2.9 meters when dropped by a lemur from the top of a banana tree.
Step-by-step explanation:
The question is about calculating the time it takes for a banana dropped by a lemur from the top of a banana tree to hit the ground. The height of the drop is given as 2.9 m. To solve this, we use the kinematic equation for an object under the influence of gravity, assuming no air resistance affects the fall.
The equation in question is:
d = ½ g t^2
where:
- d is the distance the object falls, in meters (2.9 m in this case),
- g is the acceleration due to gravity (≈ 9.81 m/s^2 on Earth), and
- t is the time in seconds.
By rearranging the equation to solve for t, we get:
t = √(2d/g)
When we substitute the values, we obtain:
t = √(2 × 2.9 m / 9.81 m/s^2)
t ≈ 0.77 seconds
So, it would take approximately 0.77 seconds for the banana to hit the ground after being dropped from the height of 2.9 meters.