Answer: vf= 86.24
Explanation:
Basic physics kinematic problem right. So we assume if this is freefall the object or cup in this case is falling with an initial speed of zero and then starts to accelerate due to the force of gravity. First lets see what equations we should use:
Imma use
d=vi+vf/2*t
d=vi*t+ 1/2*a*t^2
First I will solve for distance just to make it easier for me to use the equations.
d= 0(initial speed)*8.8s+1/2*(9.8m/s^2)(8.8)^2 or just d=1/2*(9.8m/s^2)(8.8)^2
d= 379.456
Alright lets use this info in the next equation
379.456= 0 + vf / 2 *8.8 or 379.456= vf/2 *8.8= vf= 86.24m/s
