1. A student throws a set of keys vertically upward to her sorority sister, who is in a window 4.20 m above. The second student catches the keys 2.20 s later. a. With what initial velocity (magnitude and direction) were the keys thrown? b. What was the velocity (magnitude and direction) of the keys just before they were caught?

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Chapter1: Units, Trigonometry. And Vectors
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1. A student throws a set of keys vertically upward to her sorority sister, who is in a window
4.20 m above. The second student catches the keys 2.20 s later.
a. With what initial velocity (magnitude and direction) were the keys thrown?
b. What was the velocity (magnitude and direction) of the keys just before they
were caught?
Transcribed Image Text:1. A student throws a set of keys vertically upward to her sorority sister, who is in a window 4.20 m above. The second student catches the keys 2.20 s later. a. With what initial velocity (magnitude and direction) were the keys thrown? b. What was the velocity (magnitude and direction) of the keys just before they were caught?
Kinematics:
Vx = Vxo + axt
(x – xo) = vxot +;axt?
vž – vžo = 2a,(x – xo)
Vy = Vyo + Ayt
(y – yo) = vyot +ayt?
vž – vžo = 2a,(y – yo)
1
%3D
7 = xî + yĵ
di
う=
Vzî + vyĵ
dt
axî + ayĵ
dt
E =
= m
dt
di
(constant mass)
dt
EF = må, (constant mass)
Kinetic Friction Force:
fk = HxN
Static Friction Force: fs < HsN
g = 9.80 m/s²
Transcribed Image Text:Kinematics: Vx = Vxo + axt (x – xo) = vxot +;axt? vž – vžo = 2a,(x – xo) Vy = Vyo + Ayt (y – yo) = vyot +ayt? vž – vžo = 2a,(y – yo) 1 %3D 7 = xî + yĵ di う= Vzî + vyĵ dt axî + ayĵ dt E = = m dt di (constant mass) dt EF = må, (constant mass) Kinetic Friction Force: fk = HxN Static Friction Force: fs < HsN g = 9.80 m/s²
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