At what point of a projectile motion acceleration and velocity are perpendicular to each other?Only one correct answerA.

In projectile motion, the velocity and acceleration are perpendicular to each other at the peak of the trajectory. Here’s why:

1. Understanding Projectile Motion: A projectile moves under the influence of gravity, which acts downward. The initial velocity can have both horizontal and vertical components, but only the vertical component will change during its flight due to gravitational acceleration.

2. Velocity and Acceleration Components:

   • The velocity of the projectile has two components: horizontal (constant) and vertical (changes due to gravity).
   • The acceleration due to gravity is always directed downward.

3. At the Peak of the Trajectory:

   • At the highest point of the projectile's path (the peak), the vertical component of the velocity is zero, while the horizontal component remains constant.
   • Here, the only component of acceleration (due to gravity) is directed downward.

Since the horizontal velocity is perpendicular to the downward acceleration at the peak, this is the point where the velocity and acceleration are orthogonal.

Final Answer

The acceleration and velocity of a projectile are perpendicular at the peak of its trajectory.