Question #7ea57

1 Answer
Oct 29, 2016

Answer:

#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#