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PHYSICS, M5 2015 HSC 20 MC

A projectile was launched from the ground. It had a range of 70 metres and was in the air for 3.5 seconds.

At what angle to the horizontal was it launched?

  1. 30°
  2. 40°
  3. 50°
  4. 60°
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Show Worked Solution

Find

 
 
   

 
Find (projectile has a vertical velocity of zero at its maximum height):

 
 
 

  
Find launch angle:

 
 
   

 


♦ Mean mark 55%.

PHYSICS, M5 2020 HSC 24

The graph shows the vertical displacement of a projectile throughout its trajectory. The range of the projectile is 130 m.
 

Calculate the initial velocity of the projectile.   (4 marks)

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37  m , at 54° above the horizontal.

Show Worked Solution

From the graph, at ,  the projectile reaches a maximum height of 44 m:

 
 
m  

  
Find given time of flight = 6 s:

 
   
  m  

   
Using Pythagoras:

 
   
m  

  
Find launch angle (:

 
 

  
So,  m , at 54° above the horizontal.