Question

Question #7ea57

Answer 1

`2a_2`

Explanation:

Given that displacement `x` of a particle moving along a straight line at time `t` is given by the equation
`x = a_0 + a_1t + a_2t^2`
where `a_0, a_1 and a_2` are constants
We know that velocity `v` is given by rate of change of displacement
`:.v=(dx)/dt=d/dt(a_0 + a_1t + a_2t^2)`
`=>(dx)/dt=a_1 + a_2xx2xxt`
`=>(dx)/dt=a_1 + 2a_2t`

We also know that acceleration `a` is given by rate of change of velocity
`:.a=(dv)/dt=d/dt(a_1 + 2a_2t)`
`:.a=(dv)/dt=2a_2`