1) The penny's velocity after 3.00 s is -31.4 m/s
2) The displacement of the penny is -510 m
Explanation:
1)
The motion of the penny is a motion of free fall, since only the force of gravity acts on it. So it is a motion with uniform acceleration, therefore we can use the following suvat equation:
where:
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
Here we have, by chosing upward as positive direction:
u = -2.0 m/s (initial velocity)
(acceleration of gravity)
And substituting t = 3.00 s, we find the velocity of the penny at t = 3.00 s:
2)
We can solve this part by using the following suvat equation:
where
s is the displacement
u is the initial velocity
a is the acceleration
t is the time
Substituting:
u = -2.0 m/s
and t = 10.0 s, we find the displacement of the penny after 10 seconds:
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