Answer:
A. 6.4 m/s
Step-by-step explanation:
Pythagoras Theorem: In a right angle triangle. The square of the hypotenuse is equal to the sum of the square of the two other sides.
This theorem is represented mathematically as
a² = b² + c² ................... Equation 1.
From the question, assuming the vertical and the horizontal component of the velocity forms a right angle. as shown in the diagram.
The we can apply Pythagoras theorem.
Given: a = V, b = 3.2 m/s, c = 5.6 m/s.
Substitute into equation 1
V² = 3.2² + 5.6²
V² = 10.24+31.36
V² = 41.6
V = √41.6
V = 6.449 m/s
Thus the magnitude of the ball's velocity = 6.4 m/s.
The right option is A. 6.4 m/s