Questions: Problem 2: (14% of Assignment Value) Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. Part (a) Find the squirrel's velocity, in meters per second, just before hitting the ground when it falls from a height of 1.9 m. Ignore air resistance. v=

Problem 2: (14% of Assignment Value) Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem.

Part (a) Find the squirrel's velocity, in meters per second, just before hitting the ground when it falls from a height of 1.9 m. Ignore air resistance. v=

Transcript text: Problem 2: ( $14 \%$ of Assignment Value) Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. Part (a) Find the squirrel's velocity, in meters per second, just before hitting the ground when it falls from a height of 1.9 m . Ignore air resistance. \[ v= \]

Solution

Solution Steps

Step 1: Identify the Known Values

The problem involves a grey squirrel falling from a height of 1.9 meters. We need to find the velocity just before it hits the ground. We are given:

Initial velocity, $ u = 0 \, \text{m/s} $ (since it starts from rest)
Height, $ h = 1.9 \, \text{m} $
Acceleration due to gravity, $ g = 9.81 \, \text{m/s}^2 $

Step 2: Use the Kinematic Equation

To find the final velocity $ v $ just before hitting the ground, we use the kinematic equation: \[ v^2 = u^2 + 2gh \] Substituting the known values: \[ v^2 = 0 + 2 \times 9.81 \times 1.9 \]

Step 3: Calculate the Final Velocity

Calculate the expression: \[ v^2 = 2 \times 9.81 \times 1.9 = 37.278 \] Taking the square root to find $ v $: \[ v = \sqrt{37.278} \approx 6.106 \, \text{m/s} \]