#a level math

5 main SUVAT equations:

v = u + at 

v ² = u ² + 2as 

s = (v+u/2) t 

s = vt -1/2at ²

s = ut + 1/2at ²

For simple questions where 3 quantities are given and a fourth one needs to be found, list down SUVAT and start writing the quantities one by one. You’ll notice one quantity needs to be found, 3 are given and one quantity isn't needed at all so we can just ignore it 

Go ahead and find the equation that suits the quantities you've specified the best, and then solve the equation

Velocity changes (acceleration) when there is a change in its magnitude, a change in its direction or both. That's why when a satellite is travelling at a steady speed it is actually accelerating as it constantly changes direction

Distance time graph 

gradient = instantaneous speed

straight line graph shows that the object is travelling at a constant speed/ uniform speed

area under graph doesn't represent any physical quantity 

there is no line that will slope downwards, no negative gradient as distance never decreases

Displacement time graph

gradient = velocity

area under graph doesn't represent any physical quantity 

slope at any point shows the instantaneous velocity

slope joining any two points on the graph represents the average velocity over the time interval

a line with a negative gradient would indicate motion going backwards

stationary - object stays at position 'x' all of the time! 

negative gradient indicates it is moving in the opposite direction with uniform velocity 

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4 nov 2018 // 4 days to As

small timelapse of me completing a math paper! disclaimer: i never claimed that my handwriting was neat and that my paper doesnt get incredibly messy while trying to do math... (°▽°)