Final answer:
The magnitude of the vector, given its components Vx = 19 m/s and Vy = 44 m/s, is calculated using the Pythagorean theorem and is approximately 47.93 m/s.
Step-by-step explanation:
The student is asking how to find the magnitude of the vector given its horizontal component, Vx = 19 m/s, and its vertical component, Vy = 44 m/s. The magnitude of a vector can be calculated using the Pythagorean theorem for the resultant of two perpendicular vectors.
To calculate the magnitude (v), we use the formula:
v = √(Vx² + Vy²)
Substituting the given values:
v = √((19 m/s)² + (44 m/s)²)
Calculating further:
v = √(361 + 1936)
v = √2297
v ≈ 47.93 m/s
Thus, the magnitude of the vector is approximately 47.93 m/s.