Overtaking (Leaving Cert Applied Maths): Flashcards

Both cars have travelled same distance from starting point

Starts from rest, has constant acceleration

Has initial velocity, moves at constant speed

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

Displacements of both cars from starting point

Initial moment when both cars at starting point

The positive value of $T$

Substitute $T$ into either car's displacement equation

When both cars have the same velocity

Sloped line from origin

Horizontal line

$T = 0$

Time $T$