Answer :
Use the definition of average acceleration:
[tex]a_{\rm ave}=\dfrac{\Delta v}{\Delta t}[/tex]
Then
[tex]4.5\dfrac{\rm m}{\mathrm s^2}=\dfrac{75\frac{\rm m}{\rm s}-v_i}{6.00\,\mathrm s}[/tex]
[tex]\implies v_i=48\dfrac{\rm m}{\rm s}[/tex]
Use the definition of average acceleration:
[tex]a_{\rm ave}=\dfrac{\Delta v}{\Delta t}[/tex]
Then
[tex]4.5\dfrac{\rm m}{\mathrm s^2}=\dfrac{75\frac{\rm m}{\rm s}-v_i}{6.00\,\mathrm s}[/tex]
[tex]\implies v_i=48\dfrac{\rm m}{\rm s}[/tex]