Rank the Vertical Velocity from Largest to smallest

basketBallShot

 

 

Rank the horizontal displacement from least to greatest.

 

Explain.

 

 

The football has 2 velocities.
Which velocity is the football player matching.

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Horizontal velocity.
The football and the football player
have a constant horizontal velocity.

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Ex) A projectile leaves ground at an angle of 60.° and a speed of 100.m/s.

(a) Find the initial vertical component of the object's velocity

 

Ex) A projectile leaves ground at an angle of 60.° and a speed of  100. m/s.

 

(a) Find the initial vertical component of the object's velocity 

 

Ө = 60.°

 

Vi  = 100. m/s
Viy = ?

 

 

Viy = Vi(sinӨ)

 

 

= (100. m/s)sin60.°

 

 

 

 

Viy = 86.6 m/s up

 

 

 

 

 

(b) Find the objects maximum height.

 

Viy = 86.6 m/s
ay = -9.81 m/s2 (ascending)
dy (max) =?
Vfy = 0 (at max height)

 

 

Vf2 = Viy2 + 2ad

 

 

02 = (86.6 m/s)2 + 2(-9.8 m/s2)d

 

0 = 7499 + -19.6.dy

 

 

subtract 7499 from both sides

 

 

-7499 = -19.6(dy)

 

 

dy = 382 m

 

 

 

 

 

 

 

 

ex) A rock is thrown from a cliff with initial speed of 40. m/s at an angle of 45.° below  the horizontal. 

(a) What is the vertical component of the initial velocity?

a) What is the vertical component  of the initial velocity?

Ө = 45.°

 
Vi = 40. m/s
Viy = ?     
 
Viy = VsinӨ
 
= (40. m/s)sin45.° 


			
 


			
Viy = 28 m/s down 


		


		
 


		
 


		


		 


		
 


		
(b) If the 

		rock strikes ground in 1 sec what is height of cliff?

		


		


		 


		


		 


		


		 


		
 


		
(b) If the 

		rock strikes ground in 1.0 sec what 

		is 

		height of cliff?


		
 


		
 


		
dy = ? 

		(height)


		
ay = +9.8 m/s2


		
 


		
t = 1.0 sec


		
 


		
Viy = 28 m/s

		(from before)


		


		
 


		
 


		
 


		


			


		
dy = Viyt + (˝)at2


			


		


		
 

		
 

		
 

		
= 28.m/s(1.0sec)+˝(9.81 m/s2)(1.0sec)2
		

		
 

		
 

		
 


		
28 m + 4.9 m


		
 


		


		
 


		
dy = 32.9 m down

		
 

		
 

		
 

		
dy = 33 m down


		


		
 


		
 


		
 

		
 


		
 


		
 


		


		


		 


		

		 


		


		At Peak,


		
 


		
 Vx 

		= ?


		
 


		
 


		
 


		

		

		
 


		
Vx 

		= 9.0 m/s


		
 


		


		 


		


		 


		
 

		
 


		


		Total Time in Air?


		


		 


		


		


		


		 


		


		1.84 sec 


		(twice peak)


		


		 


		


		 


		


		actually 1.8 


		


		 


		


		 


		


		 


		


		(2 sig. figs.)


		


		 


		


		 


		


		 

		


		 


		


		 


		


		 


		


		 


		


		


		


		
What will the horizontal velocity of the baseball be 

		just before it hits the ground?


		
 


		
 


		
 


		
 


		
9 m/s, Vx is constant


		
 


		


		


		


		

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		Mary's U. Astronomy and Physics Dept.


		


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		Choice 3


		


		


		


		


		


		


		

		


		 

		


		 


		


		 


				


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