A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :

<p>The correct answer is <b>Option C, a straight line vertically down the plane</b>.</p> <p>Here's why:</p> <ul> <li><strong>Frame of Reference:</strong> The key to understanding projectile motion is considering the frame of reference. The observer in the plane is in a moving frame of reference. From their perspective, they are at rest, and the bomb has the same horizontal velocity as the plane.</li><br> <li><strong>Gravity's Influence:</strong> The only force acting on the bomb after it's released is gravity. Gravity acts vertically downwards.</li><br> <li><strong>Resultant Motion:</strong> Because the bomb has the same horizontal velocity as the plane and is only affected by gravity vertically, it appears to the observer in the plane to fall straight down.</li> </ul> <p><b>Let's eliminate the other options:</b></p> <ul> <li><strong>Option A (Hyperbola):</strong> A hyperbolic trajectory occurs when an object is influenced by two forces acting in different directions, resulting in a path that gets progressively straighter. This doesn't apply to the bomb scenario.</li><br> <li><strong>Option B and D (Parabola):</strong> A parabolic trajectory is observed from a stationary frame of reference on the ground. In this case, the horizontal motion of the bomb combined with the vertical acceleration due to gravity creates a parabolic path.</li> </ul> <p></p>