Acceleration

If the velocity changes, the object is accelerating. With constant acceleration $a$ and initial velocity $v_0$ , the position after time $t$ (starting at $s = 0$ ) is

s(t) = v_0 t + \frac{a t^2}{2}

v0 * t + a * t^2 / 2
v0 * t

Initial velocity v₀ (m/s)2

Acceleration a (m/s²)1

Show values as a table

t (s)	v0 * t + a * t^2 / 2	v0 * t
0	0	0
1	2.5	2
2	6	4
3	10.5	6
4	16	8
5	22.5	10
6	30	12
7	38.5	14
8	48	16
9	58.5	18
10	70	20

ExerciseDifficulty 2/5

An object starts at $s = 0$ with $v_0 = 1\ \text{m/s}$ and constant acceleration $a = 6\ \text{m/s}^2$ . Write an expression for the position $s(t)$ .

Exercise

Which of these are vector quantities (they have a direction)?