You can check 28+ pages derivation of v 2 u 2 2as solution in Google Sheet format. So S u t 2 1 a t 2 becomes S u a v u 2 1 a a v u 2 2 a S 2 u v u v u 2 2 a S 2 u v 2 u 2 v 2 2 u v u 2 2 a S v 2 u 2 v 2 u 2 2 a S. V 2 u 2 2 u a t a 2 t 2 V 2 u 2 2 a u t 1 2 a t 2 V 2 u 2 2 a s. Also Average velocity uv2. Read also derivation and derivation of v 2 u 2 2as T a v u and use this to replace t wherever it appears in the second equation.
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Substitute the value of t in equation 1 S ut 12at 2 S ufracv-uafrac12afracv-ua2 2aS 2uv u v u 2.
Ahlukileoi and 47 more users found this answer helpful. 2AS V 2 - U 2. 2as vu v-u 2as v 2 -u 2. V - U 2AS. Derive the following equation of motion by the graphical method. 10mfracdvdxfracdxdtmfracdvdxvF Rearrangment yield int Fdxmint vdv this derivation implicitly imply force is constant then Fma Integration gives maxmfracv22-fracu22 cancel common factor mass rearrange gives final result.
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