Question

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

Verification of experts

Answer

4.1317 Voting

IlonaProfessional · Tutor for 6 years

Answer

### $20 m/s$

Explain

## Step 1: Identify known quantities and the target ### Angle ($\theta$) = $30^\circ$, Time ($t$) = 1 second, Gravity ($g$) = 9.8 m/s$^2$. We need to find the initial velocity ($v_0$). ## 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 $v_0$. \[ v_0\sin(30^\circ) = 9.8 \cdot \frac{1}{2} \] \[ v_0 \cdot \frac{1}{2} = 4.9 \] \[ v_0 = 9.8 \] ## Step 4: Calculate total initial velocity ### $v_0 = \frac{2 \cdot 4.9}{ \sin(30^\circ)} = 20 m/s$

Click to rate:

Question

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

Answer

Answer

Explain

Hot Questions