Acceleration and Projectile Motion

Acceleration is the rate of change of velocity of an object with respect to time. It can be positive (speeding up) or negative (slowing down).

Acceleration (a) = Change in velocity (Δv) / Change in time (Δt).

Negative acceleration indicates that an object is slowing down or decelerating.

Projectile motion is the motion of an object thrown into the air, subject to the force of gravity, following a curved path.

The two components are horizontal motion (constant velocity) and vertical motion (accelerated motion due to gravity).

Horizontal distance (x) = horizontal velocity (vx) × time (t).

Gravity causes the vertical velocity of a projectile to change over time, resulting in a parabolic trajectory.

The initial vertical velocity (viy) determines how high the projectile will rise and how long it will stay in the air.

Maximum height (h) can be found using the formula: h = (viy^2) / (2g), where g is the acceleration due to gravity.

Velocity is the rate of change of displacement with respect to time.