Acup falls off of a table from a height of 0.75m. what is the impact speed of the cup?

3.822 m/s

Explanation:

You can solve this by using the kinematic equations:

Where:

Vf = final velocity (impact velocity)

Vi = initial velocity

g = acceleration due to gravity

d = distance traveled

t = time

Acceleration due to gravity on Earth is constant. Gravity accelerates objects towards the ground at 9.8m/s².

Initial velocity is always at 0 m/s in free fall. Let's see what we have as our given:

d = 0.75m

Vi = 0 m/s

g = 9.8 m/s²

Look at our equation for the impact velocity (Vf) with our current given plugged in:

We still do not have time. That is where the second equation comes in. We plug in our values again in the secon equation and derive time:

So our time is 0.39s. Now we use this in our first equation: