Answer to Question #289790 in Civil and Environmental Engineering for Alan Enrico V Tuib

Question

x = 12t²t³ + t, Determine velocity equation and acceleration equation.

Answer 1

x = 12t²t³ + t

First simplify the equation

x = 12t⁽²⁺³⁾ + t = 12t⁵+t

to find velocity equation differentiate the simplified equation

d/dx= 60t⁴ + 1

hence velocity, v= 60t⁴ + 1

to find acceleration equation differentiate the velocity equation

d/dv= 240t³

hence acceleration, a= 240t³