Acceleration The change in velocity

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

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

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

Solve for average acceleration 𝑎 𝑎𝑣 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 60 𝑚𝑝ℎ −0 𝑚𝑝ℎ 3.5 𝑠 = 60 𝑚𝑝ℎ 3.5 𝑠 = 17.1 mph 𝑠 17.1 mph 𝑠 = 17.1 𝑚𝑖𝑙𝑒 1 ℎ𝑜𝑢𝑟 1 𝑠 1 = 17.1 𝑚𝑖𝑙𝑒𝑠 1 ℎ𝑜𝑢𝑟 𝑥 1 1 𝑠 = 17.1 𝑚𝑖𝑙𝑒𝑠 1 𝑠 𝑥 ℎ𝑜𝑢𝑟 = 17.1 𝑚𝑖𝑙𝑒𝑠 1 𝑠 𝑥 ℎ𝑜𝑢𝑟 𝑥 1 ℎ𝑜𝑢𝑟 3600 𝑠 𝑥 1609.34 𝑚 1 𝑚𝑖𝑙𝑒 =7.7 𝑚 𝑠 2

Graph car’s velocity over time to find its acceleration https://www.youtube.com/watch?v=KDVwjnMzEvs

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

Acceleration Data Time (s) Velocity (kph) Velocity (m/s) 5 104 28.89 5 104 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

Graph of video

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.

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

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

Graphs for Mario physics

Graphs for Mario physics