Question

The position x of a particle varies with time (t) as at? x = at2- bt The acceleration at time t of the particle will be equal to zero, where t is equal to :

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Answer 1

$\bf\red{Answer}$

The acceleration at time t of the particle will be equal to zero, where (t) is equal to . ` The position x of a particle varies with time t as x=at2-bt3

Answer 2

Answer:

The acceleration at time t of the particle will be equal to zero, where (t) is equal to . ` The position x of a particle varies with time t as x=at2-bt-3.

Explanation:

x=at

2

−bt

3

⇒ Velocity =

dt

dx

=2at−3bt

2

Acceleration=

dt

2

d

2

x

=

dt

d

(2at−3b

2

)=2a−6bt

or a=2a−6bt

Making a=0

⇒2a=6bt

⇒t=dfrac2a6b=

3b

a

.