Question #7ea57

1 Answer
A08
Oct 29, 2016

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

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