Variable Acceleration (2D)

Question 1

If you are given acceleration, how do you get to velocity?

Answer 1

integrate
v=∫adt

Question 2

If you have velocity, how do you get to displacement? (s or r)

Answer 2

integrate
s/r = ∫vdt

Question 3

If you have displacement (s or r), how do you get to velocity?

Answer 3

differentiate
v=ds/dt

Question 4

If we have velocity, how do you get to acceleration ?

Answer 4

differentiate
a=dv/dt

Question 5

If you have displacement, how can you get to acceleration?

Answer 5

differentiate twice
a=d^2s / dt^2

Question 6

Process of getting from s to v
(↓)

Answer 6

Going down (↓)
S or r
↓ (differentiate)
v=ds/dt
↓ (differentiate)
a=dv/dt=d^2s/dt^2

Question 7

Process of getting from a to s (↑)

Answer 7

Going up (↑)
S =∫vdt
↑ (integrate)
v=∫adt
↑ (integrate)
a