Answer:
X component of the velocity of the boat is 43.3 m/s
Y component of the velocity of the boat is 25 m/s
Explanation:
The boat is travelling with a velocity of 50 m/s at an angle of [tex]30^{\circ}[/tex] to find the 'X and Y components of the boat's velocity' we know that 'X component' (horizontal) is found by using the formula [tex]\mathrm{v} \times \cos \theta[/tex] and 'Y component' (vertical) is found by using the formula [tex]\mathrm{v} \times \sin \theta[/tex]. From the given question V = 50 m/s and [tex]\theta=30^{\circ}[/tex] X component of the velocity = [tex]\mathrm{V} \times \cos \theta=50 \times \cos 30[/tex] = 43.3 and Y component of the velocity = [tex]\mathrm{v} \times \sin \theta=50 \times \sin 30[/tex] = 25.
Hence, the 'X and Y components of the velocity of the boat' are 43.3 m/s and 25 m/s.
