Topic 6 - Quadratic Equations & Projectile Motion

Question 1

How to find roots

Answer 1

1. Plot the quadratic equation on a graph
2. Factorise the quadratic equation
3. Use the quadratic formula:
   𝑥= −𝑏 ± √ 𝑏2 − 4 𝑎𝑐 / 2a

Question 2

How to factorise

Answer 2

Find two numbers that:
1. Add up to the last one
2. Give you a number when you multiply them
𝑦 =( 𝑥+𝑛)(𝑥 +𝑚)
i.e. = 12
i.e. = 35

Question 3

How long until the arrow
falls back to the ground?

Answer 3

It takes the same length of time
to return to the ground as it took
for it to reach the highest point.