Got a few questions to ask:
1. What does the gradient and the area represent in a displacement and velocity vs Time Graph?
2. Why do we let one side (either left or right) be positive whenever solving with acceleration equations?
3. How is a force defined (other than a push, pull or a twist)?
4. What does it mean by "magnitude and direction"?
1. If you had done calculus this would be more intuitive for you but in short
Gradient of displacement -> velocity
Gradient of velocity -> acceleration
Area under velocity graph -> distance travelled
Area under acceleration graph -> how much your velocity increased/decreased
Gradient of acceleration and area under distance are useless for HSC physics. The latter is in fact just useless altogether.
2. Because if left is positive and right is positive at the same time you go nuts. If left is positive but right is negative (or vice versa) you can compare: positive numbers mean left, negative numbers mean right.
3. You can use Newton's second law of motion here. The sum of all forces acting on an object is the scalar product of its mass with the acceleration. (F=ma)
Otherwise, just use the junior science definition
4. Magnitude = Has a value. E.g. 1 , 4, 61, 100
Direction = Has a direction. E.g. east, 235 degrees True bearing, North 1 degrees West, into the book
If it just has magnitude (e.g. amount of energy you use a day) then it's a scalar
If it has magnitude and direction (e.g. precisely how far north you travelled) it is a vector