Question

The position x of a particle varies with time t as x = at2
-bt?. The displacement of the particle when its
velocity is zero is

​

Answer 1

Answer:

Given, x=At

2

−Bt

3

∴ velocity=

dt

dx

=2At−3Bt

2

and acceleration=

dt

d

(

dt

dx

)=2A−6Bt

For acceleration to be zero = 2A−6Bt=0

∴t=

6B

2A

=

3B

A