An archer shoots an arrow with an initial speed of 100m/s at an angle of 30^circ from the horizontal. How high does the arrow travel? 510 m 380 m 130 m ) 0.2 m

## Step 1: Identify the components of the initial velocity### The initial speed is at an angle of . We need to find the vertical component of the initial velocity using .## Step 2: Calculate the vertical component of the initial velocity### Using .## Step 3: Use the kinematic equation to find the maximum height### The kinematic equation for vertical motion is , where at the maximum height. Solving for , we get .## Step 4: Substitute the known values into the equation### .## Step 5: Round to the nearest option### The closest option to is .