** 14. A cannonball shot from a buried cannon is fired at anangle of 37° above a level field.The initial velocity has a magnitude 50 m/s.50 m/sthe oop5an:370xNeglect air resistance and answer the following questions:a) Find the horizontal and vertical components of the vector v.b) How many seconds does the cannonball stay in the air?c) How far from the cannon will the ball land?d) How high above the field is the cannonball at its highest point?

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Asked Sep 16, 2019
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** 14. A cannonball shot from a buried cannon is fired at an
angle of 37° above a level field.
The initial velocity has a magnitude 50 m/s.
50 m/s
the oop
5an:
370
x
Neglect air resistance and answer the following questions:
a) Find the horizontal and vertical components of the vector v.
b) How many seconds does the cannonball stay in the air?
c) How far from the cannon will the ball land?
d) How high above the field is the cannonball at its highest point?
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** 14. A cannonball shot from a buried cannon is fired at an angle of 37° above a level field. The initial velocity has a magnitude 50 m/s. 50 m/s the oop 5an: 370 x Neglect air resistance and answer the following questions: a) Find the horizontal and vertical components of the vector v. b) How many seconds does the cannonball stay in the air? c) How far from the cannon will the ball land? d) How high above the field is the cannonball at its highest point?

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Expert Answer

Step 1

The above question is an example of projectile motion.

Uz
37
R
Path of the Projectile
I
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Uz 37 R Path of the Projectile I

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Step 2

(a)

Let the horizontal component of the initial velocity u be denoted as ux.

Let the vertical component of the initial velocity u be denoted as uy.

From the figure the horizontal component of the velocity ux and the vertical component of the velocity uy are calculated as,

ucos370
и
=
uusin 370
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ucos370 и = uusin 370

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Step 3

Substitute 50 m/s for u in the above two equations and solve for...

u (50 cos 37)m/s
= 39.93m/s
u(50sin 370) m/s
30.09 m/s
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u (50 cos 37)m/s = 39.93m/s u(50sin 370) m/s 30.09 m/s

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