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PHYSICS, M1 EQ-Bank 13

By separating the vector, shown below, into its constituent horizontal and vertical elements, express each component in terms of theta \((\theta) \).   (2 marks)
 

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Horizontal component: \(v\,\cos \theta\)

Vertical component: \(v\,\sin \theta\)

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Horizontal component: \(v\,\cos \theta\)

Vertical component: \(v\,\sin \theta\)

PHYSICS, M1 EQ-Bank 3

A soccer ball leaves the ground with a velocity of 10 ms\(^{-1}\) at 40° above the horizontal.

  1. Draw a vector diagram to represent the balls initial velocity.   (1 marks)

  2. Calculate, to 2 decimal place, the magnitude of the horizontal and vertical components of the vector.  (2 marks)

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i. 
       

 

ii.   
       

\(v_v=6.43\ \text{ms}^{-1}\)

\(v_h=7.66\ \text{ms}^{-1}\)

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i. 
       

 

ii.   
       

\(v_v=10\sin40^{\circ}=6.43\ \text{ms}^{-1}\)

\(v_h=10\cos40^{\circ}=7.66\ \text{ms}^{-1}\)