Final answer:
To find the dart's overall velocity, the problem requires calculations using the kinematic equations of projectile motion, considering both the horizontal and vertical components. Given the vertical component, one must calculate the horizontal component and then determine the total velocity vector magnitude.
Step-by-step explanation:
The question at hand involves finding the dart's velocity given that the dart is thrown upward at an angle of 25.0° above the horizontal and the vertical component of the dart’s velocity (Vy) is 2.2 m/s. This problem relates to the kinematic equations of projectile motion in physics. To determine the overall velocity (V) of the dart, we need to consider both the vertical (Vy) and the horizontal (Vx) components of velocity.
From the given information, the vertical component (Vy) is already given as 2.2 m/s. We can calculate the horizontal component (Vx) using the given angle and the fact that Vy = V sin(θ). Once Vx is calculated, the magnitude of the total velocity can be found using the equation V = √(Vx² + Vy²).