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.

<p>A positive slope indicates constant acceleration in the positive direction.</p> Signup and view all the answers

<p>The magnitude and direction of acceleration can be determined by looking at the slope of the line on a velocity-time graph.</p> Signup and view all the answers

<p>Acceleration is defined as the rate of change of velocity over time.</p> Signup and view all the answers

<p>The SI unit for acceleration is meters per second squared.</p> Signup and view all the answers

<p>The formula for finding acceleration is acceleration = (final velocity - initial velocity) / time.</p> Signup and view all the answers

<p>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).</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>Kinematics is the science of describing the motion of an object.</p> Signup and view all the answers

<p>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) $v_f^2 = v_i^2 + 2ad$.</p> Signup and view all the answers

<p>The first kinematic equation is $v_f = v_i + at$.</p> Signup and view all the answers

<p>The second kinematic equation is $d = \frac{1}{2}(v_i + v_f)t$.</p> Signup and view all the answers

<p>The third kinematic equation is $d = v_it + \frac{1}{2}at^2$.</p> Signup and view all the answers

<p>The fourth kinematic equation is $v_f^2 = v_i^2 + 2ad$.</p> Signup and view all the answers