What is the speed at which Anna's pen is moving when it hits the ground?
The pen is moving at a speed of 13.3 m/s when it hits the ground.
Calculating the Speed of Anna's Pen
Explanation: To determine the speed at which the pen is moving when it hits the ground, we can use the equation for the final velocity, v, of an object in free fall:
v^2 = u^2 + 2a s
Where:
- v is the final velocity
- u is the initial velocity (which is 0)
- a is the acceleration due to gravity (which is approximately 9.8 m/s^2)
- s is the distance traveled (which is 9 m)
Plugging in the values:
v^2 = 0^2 + 2(9.8)(9)
v^2 = 176.4
Taking the square root of both sides:
v = 13.3 m/s
So, the pen is moving at a speed of 13.3 m/s when it hits the ground.