What do you mean the force is not constant?
v(m/s) 12
6
0
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 t (s)
1. Calculate the acceleration at 5.0 s.
$a = \frac{\Delta v}{\Delta t} = \frac{8 - 0}{5 - 0} = 1.6 \, m/s^2$
2. Calculate the acceleration at 19.0 s.
$a = \frac{\Delta v}{\Delta t}$
3. Calculate the acceleration at 24.0 s.
$a = \frac{\Delta v}{\Delta t} = \frac{7 - 7}{24 - 22} = 0 \, m/s^2$
4. Calculate the displacement from 0 - 8.0 s.
Area of rectangle: $(8 - 2) \times 3 = 18 \, m$
Triangle #1: $\frac{1}{2}(2 \cdot 3) = 3 \, m$
Triangle #2: $\frac{1}{2}(6 \cdot 10) = 30 \, m$
Displacement = 51 m
5. Calculate the displacement from 0 - 12.0 s.
Rectangle: $(12 - 4) \cdot 6 = 48 \, m$
Triangle #1: $\frac{1}{2}(4 \cdot 6) = 12 \, m$
Triangle #2: $\frac{1}{2}(4 \cdot 6) = 12 \, m$
Triangle #3: $\frac{1}{2}(4 \cdot 6) = 12 \, m$
Displacement = 84 m
6. Calculate the displacement from 0 - 18.0 s.
Rectangle: $(18 - 4) \cdot 6 = 84 \, m$
Triangle 1, 2, 3: $36 \, m$
Triangle #4: $\frac{1}{2}(6 \cdot 3) = 9 \, m$
Displacement = 129 m
