AP C Kinematics HW

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14 Νοε 2013 (πριν από 3 χρόνια και 6 μήνες)

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AP C Kinematics HW


1.


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender
is momentarily distracted and does not see the mug, which slides off the counter and strikes the
floor
0.40

m from the base of the coun
ter. The height of the counter is
0.890

m.

(a) With what velocity did the mug leave the counter?


m/s

(b) What was the direction of the mug's velocity just before it hit the floor?

°
(below the horizontal)


2.


A rock is thrown upward from the level ground in such a way that the maximum height of its
flight is equal to its horizontal range
d
.

(a) At what angle
θ

is the rock thrown?

°

(b) Would your

answer to part (a) be different on a different planet?

yes

no




Explain.


(c) What is the range
d
max

the rock can attain if it is laun
ched at the same speed but at the optimal
angle for maximum range?

d


3.


A firefighter a distance
d

from a burning building directs a stream of water from a fire hose at
angle
θ
i

above the horizontal as in the figure. If the initial speed of the stream is
v
i
, at what height
h

does the water strike the building? (Use theta for
θ
i
, vi for
v
i
, g for acceleration due to gravity,
and
d

and
h

as necessary.)





4.


A ball is tossed from an upper
-
story window of a building. The ball is given an initial velocity of
8.40

m/s a
t an angle of
17.0°

below the horizontal. It strikes the ground
3.00

s later.

(a) How far horizontally from the base of the building does the ball strike the ground?


m

(b) Find the height from which the ball was thrown
.


m

(c) How long does it take the ball to reach a point 10.0 m below the level of launching?


s


5.

in her Corvette accelerates at the rate of (
3.50

-

2.00
) m/s
2
, while Jill in her Jaguar
accelerates at (1.00

+
3.50
) m/s
2
. They both start from rest at the origin of an
xy

coordinate
system. Determine the following after
7.50

s.

(a) What is Heather'
s speed with respect to Jill?


m/s


(b) How far apart are Heather and Jill?


m


(c) What is Heather's acceleration relative to Jill?

(


+
) m/s
2



6.


A hummingbird is flying in such a way that it

is initially moving vertically with a speed of
4.7

m/s and accelerating horizontally at
11.4

m/s
2
. Assume the bird's acceleration remains constant
for the time interval of interest.


(a) Find the
x

component of the hummingbird's velocity at the time
t

=
0.60

s.


m/s

(b) Find the
y

component of the hummingbird's velocity at the time
t

=
0.60

s.


m/s

(c) What is the bird's direction of travel at this time relative to the positive
x
-
axis?.

°