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Prelim Revision Physics - Coggle Diagram

- - - - Likewise we could find the average acceleration at Higher using the equation : a (average) = Change in velocity/ Change in time (Delta v/ Delta t)
        
        But to find the instantaneous acceleration we will need to consider the rate of change of velocity with respect to time. In other words we must differentiate velocity with respect to time using calculus : a = lim(Delta v/ Delta t) and as Delta t = 0, a = dv/dt.
        
        Since v = ds/dt acceleration can be written as : a = d/dt x ds/dt = d^2 s/dt^2
        
        This means that acceleration can be described as the first derivative of velocity with respect to time or as the second derivative of displacement with respect to time.
        
        Acceleration is a vector quantity and so an object will accelerate if either the magnitude of the velocity changes or the direction alters.
        
        Equations of motion
        
        a = dv/dt, dv = adt
        
        Then we use integration using the limits of velocity as v and u and the limits of time being t ad 0
        
        ∫vudv=∫tt=0adt=a∫tt=0dt
        
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        v = ds/dt, ds/dt = u + at
        
        Then we use integration using the limits of displacement as s and s = 0 and for time once again, it would be t and t = 0.
        
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        t = (v-u)/a
        
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