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A stone is thrown at 50° to the horizontal with a speed of 15 m s⁻¹ - Scottish Highers Physics - Question 2 - 2019

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A stone is thrown at 50° to the horizontal with a speed of 15 m s⁻¹. Which row in the table gives the horizontal component and the vertical component of the initial... show full transcript

Worked Solution & Example Answer:A stone is thrown at 50° to the horizontal with a speed of 15 m s⁻¹ - Scottish Highers Physics - Question 2 - 2019

Step 1

Calculate the Horizontal Component

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Answer

The horizontal component of the velocity can be calculated using the formula:

Vx=Vimesextcos(heta)V_x = V imes ext{cos}( heta)

where:

  • VV is the initial speed (15 m s⁻¹)
  • heta heta is the angle of projection (50°)

Thus,

Vx=15imesextcos(50)V_x = 15 imes ext{cos}(50)

Step 2

Calculate the Vertical Component

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Answer

The vertical component of the velocity can be calculated using the formula:

Vy=Vimesextsin(heta)V_y = V imes ext{sin}( heta)

where:

  • VV is the initial speed (15 m s⁻¹)
  • heta heta is the angle of projection (50°)

Thus,

Vy=15imesextsin(50)V_y = 15 imes ext{sin}(50)

Step 3

Identify the Correct Row

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Answer

From the calculations:

  • Horizontal component: 15×cos(50)15 \times \text{cos}(50)
  • Vertical component: 15×sin(50)15 \times \text{sin}(50)

By comparing this to the table, row B matches these components:

  • Horizontal: 15cos5015 \text{cos} 50
  • Vertical: 15sin5015 \text{sin} 50

Therefore, the answer is Row B.

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