1. Acceleration
The change in velocity

2. Acceleration
Acceleration is the rate of change in an object’s velocity.
The unit is m/s²
Velocity / time = (m/s)/s = m/s²
Average acceleration is found by using the following equation:
𝑎 𝑎𝑣 = ∆𝑉 𝑡 = 𝑉 𝑓 − 𝑉 𝑖 𝑡

3. Acceleration: Car example
The 2015 Ford Mustang Shelby GT500 has a 0-60 mph in 3.5s

4. Acceleration: Car example
0-60 mph in 3.5s With this data we can calculate the average acceleration. 𝑎 𝑎𝑣 = ∆𝑉 𝑡 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 𝑉 𝑖 =0 𝑚𝑖𝑙𝑒𝑠 ℎ𝑜𝑢𝑟 𝑉 𝑓 =60 𝑚𝑖𝑙𝑒𝑠 ℎ𝑜𝑢𝑟 𝑡=3.5 𝑠

5. Solve for average acceleration
𝑎 𝑎𝑣 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 60 𝑚𝑝ℎ −0 𝑚𝑝ℎ 3.5 𝑠 = 60 𝑚𝑝ℎ 3.5 𝑠 = mph 𝑠
17.1 mph 𝑠 = 𝑚𝑖𝑙𝑒 1 ℎ𝑜𝑢𝑟 1 𝑠 1 = 17.1 𝑚𝑖𝑙𝑒𝑠 1 ℎ𝑜𝑢𝑟 𝑥 1 1 𝑠 = 17.1 𝑚𝑖𝑙𝑒𝑠 1 𝑠 𝑥 ℎ𝑜𝑢𝑟 = 𝑚𝑖𝑙𝑒𝑠 1 𝑠 𝑥 ℎ𝑜𝑢𝑟 𝑥 1 ℎ𝑜𝑢𝑟 3600 𝑠 𝑥 𝑚 1 𝑚𝑖𝑙𝑒 =7.7 𝑚 𝑠 2

6. Graph car’s velocity over time to find its acceleration

7. Acceleration Data Time (s) Velocity (kph) 5 104 10 156 15 187 20 2125
104 10
156 15
187 20
212 25
227 30
239 35
249 40
255 45
259 50
262

8. Acceleration Data Time (s) Velocity (kph) Velocity (m/s) 5 104 28.895
104
28.89 10
156
43.33 15
187
51.94 20
212
58.89 25
227
63.06 30
239
66.39 35
249
69.17 40
255
70.83 45
259
71.94 50
262
72.78

9. Graph of video

10. Mario and physics
Mario throws a fireball straight up with an initial velocity of 29.4 m/s ~ 66 mph. It reach its peak at 3.0 s, and then lands back in Mario’s hand at 6.0 s. Find the average acceleration.

11. Mario and physics
Known variables: 𝑉 𝑖 =29.4 𝑚/𝑠 𝑉 𝑓 =0 𝑚/𝑠 𝑡=3.00 𝑠 Solve for the acceleration 𝑎 𝑎𝑣 = ∆𝑉 𝑡 = 𝑉 𝑓 − 𝑉 𝑖 𝑡

12. DATA table for Mario Physics
t (s)
V (m/s)
d (m)
29.4
0.0 1
19.6
24.5 2
9.8
39.2 3
44.1 4
-9.8 5
-19.6 6
-29.4

13. Graphs for Mario physics

14. Graphs for Mario physics