Final answer:
It will take Felix's penny 5.35 seconds to hit the ground, and Oscar's penny had an initial velocity of 19.6 m/s.
Step-by-step explanation:
To determine how long it takes for Felix's penny to hit the ground, we can use the free fall equation for distance (d = 0.5 × g × t2), where g is the acceleration due to gravity (9.8 m/s2) and t is the time in seconds.
Since Felix drops his penny, it starts with an initial velocity of 0 m/s. For Oscar's penny, to find the initial velocity, we use the equation v = u + (g × t), where u is the initial velocity and v is the final velocity.
Given that the penny hits the ground in 2 seconds, and assuming it has gone through the last phase of its trajectory:
t = sqrt(2h/g)
where t is the time, h is the height, and g is the acceleration due to gravity. Plugging in the values, we get:
t = sqrt(2(112)/9.8)
= 5.35 seconds
To find the initial velocity of Oscar's penny, we need to use the equation for the velocity of a falling object:
v = gt
where v is the velocity and t is the time.
Plugging in the values, we get:
v = 9.8(2)
= 19.6 m/s