Unittif7 2D Motion - Projectile Test L A bullet is fired at a 0^circ angle with the ground while another bullet is simultaneously dropped. The fired bullet spends more time in the air and travels further than the dropped bullet. True False

## Step 1<br />The problem is about the motion of two bullets, one fired at a \(0^{\circ}\) angle with the ground and the other dropped. The statement is that the fired bullet spends more time in the air and travels further than the dropped bullet.<br /><br />## Step 2<br />To solve this problem, we need to understand the principles of projectile motion. In projectile motion, the time of flight and the range of the projectile are determined by the initial velocity and the angle of projection.<br /><br />## Step 3<br />The time of flight for a projectile is given by the formula:<br />### \(T = \frac{2v_0 \sin(\theta)}{g}\)<br />where \(T\) is the time ofv_0\) is the initial velocity, \(\theta\) is the angle of projection, and \(g\) is the acceleration due to gravity.<br /><br />## Step 4<br />The range of the projectile is given by the formula:<br />### \(R = \frac{v_0^2 \sin(2\theta)}{g}\)<br />where \(R\) is the range, \(v_0\) is the initial velocity, \(\theta\) is the angle of projection, and \(g\) is the acceleration due to gravity.<br /><br />## Step 5<br />If the bullet is fired at a \(0^{\circ}\) angle, the time of flight and the range will be less than if it were fired at any other angle. This is because the sine of \(0^{\circ}\) is zero, which means the time of flight and the range will be less.<br /><br />## Step that the fired bullet spends more time in the air and travels further than the dropped bullet is false.