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Velocity, acceleration and distance. This equation applies to objects in uniform acceleration: (final velocity) 2 - (initial velocity) 2 = 2 × acceleration × distance. \ (v^2 - u^2 = 2~a~s ...
Explanation. 1 Start with the given formula v^ {2} = u^ {2} + 2as v2 =u2+2as. 2 Subtract 2as 2as from both sides to isolate the u^ {2} u2 term, which gives us v^ {2} - 2as = u^ {2} v2−2as =u2.
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equation from part 1 ( ).s =(u 2+v)t Rearrange , to get:v =u +at t = a v −u Substitute this into , to get:s =(u 2+v)t s =(u 2+v) )×(a v −u s = 2a v 2 2−u v 2 =u2+2as In summary, when an object is moving at uniform acceleration , you can use the following formulas: v =u +at s =(u 2+v)t =us t + 2 at 2 v 2 =u2+2as
Apr 10, 2021 · Integration gives $max=m(\frac{v^2}{2}-\frac{u^2}{2})$, cancel common factor mass rearrange gives final result: $2ax=v^2-u^2$
Deriving the equations of kinematics - equations of motion from scratch. v = u + at; s = ut + 1/2 at²; v² = u² + 2as. Worked examples covering the three equations. Extra harder questions for practice - with answers. An interactive applet to practise distance/time, velocity/time and acceleration/time graphs.
Oct 13, 2023 · Calculate final velocity as a function of initial velocity, acceleration and displacement using v^2 = u^2 + 2as. Solve for v, u, a or s; final velocity, initial velocity, acceleration ar displacement.
A gardener uses this formula to work out how much he charges to make a lawn. C = (7(14+A))/3. C is the charge in £, A is the area in m^2. He makes a rectangular lawn measuring 12.5 m by 17.6 m. How much does he charge? [3 marks]
