Final answer:
To find the velocity at which the wrench strikes the ground, you need to find the time it takes for the wrench to fall. Use the equation for the height of an object in free fall to calculate the time. Then, use the time to find the velocity using the equation for velocity in free fall.
Step-by-step explanation:
To find the velocity at which the wrench strikes the ground, we first need to find the time it takes for the wrench to fall. We can use the equation for the height of an object in free fall: h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time. Plugging in the values, we have:
80.0 = (1/2)(9.8)t^2
Simplifying and solving for t, we get t ≈ 4.04 s. Now, we can use the time to find the velocity. The velocity of an object in free fall can be calculated using the equation: v = gt, where v is the velocity and g is the acceleration due to gravity. Plugging in the values, we have v = (9.8)(4.04) ≈ 39.6 m/s.