Variable Acceleration

Question 1

Maxima and minima problems between bounds

Answer 1

Try the turning point and the bounds of the region to see which is needed

Question 2

Integrating for displacement or velocity

Answer 2

Use the +c and use a known point to assign it a value or 0

Question 3

Finding the displacement between two bounds

Answer 3

Integrate definitely between the limits

Question 4

Finding the distance between two bounds

Answer 4

Integrate v definitely between any bounds and roots and sum the positive values

Question 5

Deriving v = u + at with integration

Answer 5

Integrate a for v = at + c

When t = 0 v = u so c = u and v = u + at

Question 6

Deriving s = ut + 1/2at^2 with integration

Answer 6

Integrate v = u + at for s = ut + 1/2at^2 + c

When t = 0, s = 0 so c = 0