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Calculation of location, velocity and acceleration by the location function as a funtion of time

작성자 Uploader : simplelife 작성일 Upload Date: 2018-08-21변경일 Update Date: 2018-08-21조회수 View : 225

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Location as a function of time, L(t), is given as below. 

L(t) = a*t^3 + b*t^2 + c*t +d 

where, a, b, c and d are constants and t is time. 

Differentiating L(t) with respect to t yields the velocity function V(t) as below. 

V(t) = 3*a*t^2 + 2*b*t + c 

Further differentiating V(t) with respect to time yields the acceleration a(t) as below. 

a(t) = 6*a*t + 2*b 


▶ Location





▶ Velocity





▶ Acceleration



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