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this is the back of the other one! UPDATE : Name: ______________________________

ID: 3279421 • Letter: T

Question


this is the back of the other one!

UPDATE :

Name: __________________________________________

Due Date:

0

9

/

18

/1

7

STUDY GROUP

PARTNER(S)

:

________________________

_________________________________________________

PHY

1250/OSU

-

Newark

Quiz #

2

: Chapters 3 & 4

You may use a calculator, but please

show all work

and relevant reasoning. Make sure that you

report answers with their

proper units and directions, when appropriate. This take home quiz is to be taken “open book” and group work is encouraged.

PLEASE WRITE THE NAME(S) OF YOUR STUDY GROUP AT THE TOP OF THIS QUIZ

. If necessary, please

attach any add

itional work to this quiz.

Please put a box around your final answers

. Here are some relevant equations:

2

2

2

2

2

2

2

2

2

2

,

tan

,

cos

,

sin

,

m/s

8

.

9

ˆ

ˆ

,

2

,

,

2

1

,

2

,

,

2

1

c

b

a

a

b

c

a

c

b

g

j

A

i

A

A

y

a

v

v

t

a

v

v

t

a

t

v

y

y

A

A

A

x

a

v

v

t

a

v

v

t

a

t

v

x

x

Earth

y

x

y

o

y

f

y

o

y

f

y

o

y

o

f

y

x

x

o

x

f

x

o

x

f

x

o

x

o

f

y

y

x

x

1.

Vectors

and

are given in unit vector notation, where

and

are unit vectors in the

x

and

y

directions, respe

ctively,

such that:

and

.

a.

Find the resulting vectors of

:

and in unit vector notation.

[

2

points]

b.

What are the magnitudes and directions of the resultant

vectors

,

with respect to the +

x

-

axis

?

[

4

points]

2.

A projectile is fired at an angle

()

from the horizontal ground level towards

the wall of a building that is

195 meters

away, with an initial velocity whose vertical component is

29.3 meters/second upwards

,

strik

ing

the wall

5 seconds

later.

a.

What is the maximum height of the projectil

e above

the horizontal

ground level?

[

3

points]

a

b

c

j

i

A

ˆ

27

ˆ

13

j

i

B

ˆ

14

ˆ

4

A

B

i

ˆ

j

ˆ

B

A

C

B

A

D

D

C

&

b.

How far above the

horizontal

ground

level

does the projectile hit the wall?

[3

points]

b. How far ahove the borizontal ground level does the projectile ht the wall? 1B points c. What is the projectile's velocity when it hits the wall? 13 paints slingshot to feed banana to 1 monkey who is too shy to come down from a tree. 8ONUS: A 200kerper uses be ains (A) above, (8) at ar (C) below the mookey's staticeary position if the monkey gets starded und lets g branch the instant the hananu is relcased' (Circle oue) Yeu mest esalain seur neasmin far any. eredli 15 pol

Explanation / Answer

Since figure of question 1 is not given, all parts of question 2 is solved.

2 a) maximum height above ground level = vy^2 /2g

= 29.3^2 /(2*9.8)

= 43.8 m

b) height at which projectile hits = vyt - 0.5gt^2

= 29.3*5 - 0.5*9.8*5^2

= 24 m

C) velocity v = sqrt(Vx^2 + Vy^2)

= sqrt ((195/5)^2 + (29.3-5*9.8)^2)

= 43.7 m/s answer