In a game called Darts, metal darts are thrown towards a dartboard. The darts hit the dartboard as shown. A dart is thrown with a velocity of $$\(15.6 \mathrm{~m} \mathrm{~s}^{-1}\)$$ at an angle of $$\(5.0^{\circ}\)$$ to the horizontal. The dart travels a horizontal distance $$\(D\)$$ to the dartboard, as shown. Not to scale Just before the dart hits the dartboard, the vertical component of the velocity of the dart is zero. The air resistance acting on the dart is negligible. Calculate the horizontal distance $$\(D\)$$ travelled by the dart. (2) .............................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................. .............................................................................................................................................................................................................................................. $$\[ D= \]$$ ...................................................
Exam No：wph11-01-que-20240112 Year：2024 Question No：12(b)
Answer:
Use of \(s=u t+0.5 a t^{2}\) with \(a=0\) and horizontal component of \(u\) \(D=2.2 \mathrm{~m}\) (allow ecf from 12(a))
Example of calculation
\[
D=15.6 \times \cos \left(5^{\circ}\right) \times 0.139=2.16 \mathrm{~m}
\]
Example of calculation
\[
D=15.6 \times \cos \left(5^{\circ}\right) \times 0.139=2.16 \mathrm{~m}
\]
Knowledge points:
CH1 - Mechanics
Solution:
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