Question

Displacement(m) 0 20 40 40 80 80 60 40 0
Time (s) 0 10 20 30 40 50 60 70 80
1.Explain the different sections of the graph in as much as you can
2. Use the graph to determine the maximum velocity
3. Find the average velocity after 45 s
4. Find the instantaneous velocity at 45 s

Answer 1

1) From 0 s. to 10 s.: motion frontwards with velocity:

$$\frac{20-0}{10}=2\frac{m}{s}$$

From 10 s. to 20 s.: motion frontwards with velocity:

$$\frac{40-20}{10}=2\frac{m}{s}$$

From 20 s. to 30 s.: no motion.

From 30 s. to 40 s.: motion frontwards with velocity:

$$\frac{80-40}{10}=4\frac{m}{s}$$

From 40 s. to 50 s.: no motion.

From 50 s. to 60 s.: motion backwards with velocity:

$$\frac{60-80}{10}=-2\frac{m}{s}$$

From 60 s. to 70 s.: motion backwards with velocity:

$$\frac{40-60}{10}=-2\frac{m}{s}$$

From 70 s. to 80 s.: motion backwards with velocity:

$$\frac{0-40}{10}=-4\frac{m}{s}$$

2)

$$V=4\frac{m}{s}$$

3)

$$v_{av}=\frac{80-0}{45}=1.78\frac{m}{s}$$

4)

$$v=0\frac{m}{s}$$