Overtaking (Leaving Cert Applied Maths): Quizzes

Both cars have traveled the same distance

Starts from rest, constant acceleration

Initial velocity, constant speed

$s = ut + \frac{1}{2}at^2$

Set the displacements equal

$2T^2 - 20T = 0$

Initial moment at starting point

Time when overtaking actually occurs

Substitute T into displacement equation

Sloped line from origin

Horizontal line

When both cars have same velocity