Question

If displacement of a body is given by x = 3t3 + 4t2 – 2. Find velocity & acceleration at 2sec. Also

comment the nature of acceleration of the body.​

Answer 1

Answer:

Given displacement x=5+3t+2t

2

Differentiating the above equation with respect to time t we get velocity of the body

v=

dt

dx

=3+4t

Now again differentiating the velocity with respect to time we get acceleration

a=

dt

dv

=4