The Acceleration Challenge

Displacement equals one half times our initial and final velocities added together, multiplied by the time.

Stopping distance equals one half times the initial velocity squared, divided by the rate of deceleration.

The slope of the line on a velocity-time graph represents constant acceleration.

A positive slope indicates constant acceleration in the positive direction.

The magnitude and direction of acceleration can be determined by looking at the slope of the line on a velocity-time graph.

Acceleration is defined as the rate of change of velocity over time.

The SI unit for acceleration is meters per second squared.

The formula for finding acceleration is acceleration = (final velocity - initial velocity) / time.

In this example, the acceleration is calculated as 7 meters per second squared by subtracting the initial velocity (0 m/s) from the final velocity (10.5 m/s) and dividing by the time taken (1.5 seconds).

Yes, acceleration is a vector quantity, so it has both magnitude and direction. The direction of acceleration depends on the sign of the initial and final velocities.

Kinematics is the science of describing the motion of an object.

The four main kinematic equations are: 1) $v_f = v_i + at$, 2) $d = \frac{1}{2}(v_i + v_f)t$, 3) $d = v_it + \frac{1}{2}at^2$, and 4) $v_f^2 = v_i^2 + 2ad$.

The first kinematic equation is $v_f = v_i + at$.

The second kinematic equation is $d = \frac{1}{2}(v_i + v_f)t$.

The third kinematic equation is $d = v_it + \frac{1}{2}at^2$.

The fourth kinematic equation is $v_f^2 = v_i^2 + 2ad$.