A soccer ball is kicked at an angle of 30^circ If the ball requires 1 second to reach the goal, what is its initial velocity? 10m/s 0.5m/s 20m/s 5m/s

## Step 1: Identify known quantities and the target### Angle ( ) = , Time ( ) = 1 second, Gravity ( ) = 9.8 m/s . We need to find the initial velocity ( ).## Step 2: Formulate the vertical motion equation ### The vertical component of the initial velocity is \(v_0 \sin(\theta)\). Use the formula \(v_{y} = v_0 \sin(\theta) - gt\).## Step 3: Solve for initial velocity using kinematic equations### At the top of the trajectory, the vertical velocity will be 0. We have \(v_0\sin(30^\circ) = g \cdot t/2\). Solve for . ## Step 4: Calculate total initial velocity ### \(v_0 = \frac{2 \cdot 4.9}{ \sin(30^\circ)} = 20 m/s\)