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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.
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.
v = u + at v2 = u + 2as s = ut + ½at2 s = ½ (u + v)t It is important to note when using these equations that u, v, a and s can be negative as well as positive. Positive and negative values of displacement (s) refer to positions each side of the starting point – for example, if a positive
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.
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In this equation we can see that both v^2 and u^2 are independent of s. So, as v^2 is already on the other side of 's', i.e. it is on the Left Hand Side, we shall start by subtracting u^2 from both sides of the equation.
