Question

a boat is traveling at a velocity of 50 m/s at an angle of 30 degrees above the horizontal find the x and y components of the velocity

Answer 1

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
`30^(\circ)` to find the 'X and Y components of the boat's velocity' we know that 'X component' (horizontal) is found by using the formula
`\mathrm{v} * \cos \theta` and 'Y component' (vertical) is found by using the formula
`\mathrm{v} * \sin \theta`. From the given question V = 50 m/s and
`\theta=30^(\circ)` X component of the velocity =
`\mathrm{V} * \cos \theta=50 * \cos 30` = 43.3 and Y component of the velocity =
`\mathrm{v} * \sin \theta=50 * \sin 30` = 25.

Hence, the 'X and Y components of the velocity of the boat' are 43.3 m/s and 25 m/s.