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:
[tex]v=u+at[/tex]
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)
[tex]a=g=-9.8 m/s^2[/tex] (acceleration of gravity)
And substituting t = 3.00 s, we find the velocity of the penny at t = 3.00 s:
[tex]v=(-2.0)+(-9.8)(3.0)=-31.4 m/s[/tex]
2)
We can solve this part by using the following suvat equation:
[tex]s=ut+\frac{1}{2}at^2[/tex]
where
s is the displacement
u is the initial velocity
a is the acceleration
t is the time
Substituting:
u = -2.0 m/s
[tex]a=g=-9.8 m/s^2[/tex]
and t = 10.0 s, we find the displacement of the penny after 10 seconds:
[tex]s=(-2.0)(10.0)+\frac{1}{2}(-9.8)(10.0)^2=-511 m[/tex]
Learn more about free fall motion:
brainly.com/question/1748290
brainly.com/question/11042118
brainly.com/question/2455974
brainly.com/question/2607086
#LearnwithBrainly
