Motion at Constant Acceleration

Motion at Constant Acceleration

• In straight-line motion with a constant acceleration magnitude, instantaneous acceleration is equal to average acceleration.
• Kinematic equations relate position ($x$), velocity ($v$), acceleration ($a$), and time ($t$) when $a$ is constant.

Simplified Kinematic Notation

• Initial time is set to zero: $t_1 = t_0 = 0$
• Elapsed time is represented as $t_2 = t$
• Initial position ($x_1$) at $t = 0$ is denoted as $x_0$
• Initial velocity ($v_1$) at $t = 0$ is denoted as $v_0$
• Position ($x_2$) at time $t$ is denoted as $x$
• Velocity ($v_2$) at time $t$ is denoted as $v$
• The time interval for the motion is $t - t_0$