The distance x travelled by a particle in time, t, is given by t=2x2+3x. If ‘u’ is the velocity, then acceleration will be:
−4u3
−3u4
4u2
−3u3
t=2x2+3x
Differentiating wrt t,
1= 4xv+3v
v= 14x+3
Differentiating again,
0=4v2+ 4xa+3a -4v2= a/v a= -4v3