Presentation on theme: "The Equations of Motion"— Presentation transcript:
1 The Equations of Motion KinematicsThe Equations of Motion
2 Equations of MotionThe equations of motion all apply to a body moving……with constant acceleration…in a straight line.They can also be applied to projectile motion.
3 1. The average velocity equation: We know that if an object accelerates uniformly from an initial velocity (u) to a final velocity (v) over a time (t) then…If it has travelled through a displacement (s) then also…So…Or…Average velocity = u + vAverage velocity = s ts = u + v tas = ½ (u + v) t
4 2. The acceleration equation We know that acceleration is given by…Rearranging gives…Acceleration = v - u tv = u + atb
5 3. The displacement equation Substituting b into a gives…So…s = ½ (u + u + at) ts = ½ (2u + at) tcs = ut + ½ at2
6 The fourth equation t = 2s (u+v) (v–u) (u+v) = 2as v = u + a 2s (u+v) Rearranging a gives…Substituting into b gives…Rearranging…So…Expand the brackets…Simplifies to…t = s (u+v)(v–u) (u+v) = 2asv = u + a 2s(u+v)uv + v2 – u2 – uv = 2asv-u = 2as(u+v)v2 = u2 + 2asd
7 Note:When recalling the equations of motion, check for homogeneity if you’re not sure.e.g.s = ut + ½ at2
8 QuestionFirst watch this video.Now, analyse the video to determine…- fall time- height of cliff- velocity upon impact
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