Acceleration Acceleration Velocity-time graph Questions
Acceleration Acceleration tells you how quick the velocity of an object is changing, we calculate it using the formula, 𝐴= 𝑉−𝑈 𝑇 A – acceleration ( 𝑚/𝑠 2 ) V-final velocity(m/s) U-initial velocity (m/s) T- time taken for change (s)
Acceleration 𝐴= 𝑉−𝑈 𝑇 Means: acceleration= 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 𝑇𝑖𝑚𝑒
Acceleration When an object speeds up it is accelerating When an object slows down it is decelerating When an object has a constant velocity it is not accelerating
Velocity-time graph 40 30 20 10 Velocity(m/s) 0 10 20 30 40 50 60 70 80 Time(s) This graph shows us that the car accelerated for 0-40m/s in 10 seconds It also shows us that the car then stayed at velocity of 40m/s for 20 seconds before slowing from 40-0m/s in 20 seconds
Velocity-time graph C B D A 40 30 20 10 C B Velocity(m/s) D A 0 10 20 30 40 50 60 70 80 Time(s) We can calculate the acceleration using the gradient of the graph. The acceleration between point A and B is: 𝐴= 𝑉−𝑈 𝑇 𝐴= 40−0 10 𝐴=4 𝑚/𝑠 2
Velocity-time graph C B D A 40 30 20 10 C B Velocity(m/s) D A 0 10 20 30 40 50 60 70 80 We can calculate the distance an object has moved by finding the area under the graph, for example, Between point A and B the area under the graph: 40×10 2 = 200m
Question time What is the formula for acceleration? C B 2) How far did the object move between point B and C? 3) What was the deceleration between point C and D? 40 30 20 10 C B Velocity(m/s) D A 0 10 20 30 40 50 60 70 80 Time(s)