A stone is thrown at 50° to the horizontal with a speed of 15 m s⁻¹ - Scottish Highers Physics - Question 2 - 2019
Question 2
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)
where:
V is the initial speed (15 m s⁻¹)
heta is the angle of projection (50°)
Thus,
Vx=15imesextcos(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)
where:
V is the initial speed (15 m s⁻¹)
heta is the angle of projection (50°)
Thus,
Vy=15imesextsin(50)
Step 3
Identify the Correct Row
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Answer
From the calculations:
Horizontal component: 15×cos(50)
Vertical component: 15×sin(50)
By comparing this to the table, row B matches these components:
Horizontal: 15cos50
Vertical: 15sin50
Therefore, the answer is Row B.
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