Nissan Skyline Equation

A Nissan Skyline (‘B’) full of friends are heading to the Adelaide Casino at night on a rainy day. The driver decided to be travelling at 57.6km/hr. A VE Commodore (‘A’) with a family heading to the Adelaide Festival Centre to watch the Disney Show. As driver ‘A’ nears the traffic light, they reduce their speed to 36km/hr instead of 60km/hr for safety reasons. ‘A’ is going straight to King William Road and ‘B’ is going to North Terrace Road to reach their destinations. At the intersection, ‘B’ was approaching a yellow traffic light, while ‘A’ had a red traffic light, but the driver was distracted by his phone. ‘A’ driver commences driving without visually examining the traffic lights. ‘A’ and ‘B’ collided at the intersection. The collision occurred at the intersection of North Terrace and King William Road, SA (as shown on the map). The initial points of …show more content…
The formulas for parametric equations of x(t) and y(t) are; x(t)=Position Point+ V_AB t & y(t)=Position Point+ V_AB t . The formula to determine the distance of two different points is; d_AB=√((x_B-x_A )^2+ (y_B-y_A )^2 ). Additionally, the most important is to note that the value (t) Bezier curve is such that 0≤t≤1. A table is drawn to determine the coordinates of vector points ‘P’ and ‘Q’ and the Bezier curve points ‘S’ (‘x’ and ’y’ value of these vector points). Furthermore, arrows are being used because they indicate vector direction. To determine the Bezier Curve points (S), point ‘P’ and ‘Q’ are investigated because the ‘S’ point lies on the moving (invisible) line segment of ‘PQ’. From the parametric equations of ‘P’ and ‘Q’, ‘S’ parametric equation of x(t) and y(t) is determined. Finally, using the points of A, B, C and the moving line segment of P and Q, the moving point of ‘S’ is drawn using