<PAGE>


                                                                 EXHIBIT 24

                               POWERS OF ATTORNEY


                                       1
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/  Gerald G. Mercer
                                        ----------------------------------------
                                        Gerald G. Mercer


                                       2
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/  William R. Sumser
                                        ----------------------------------------
                                        William R. Sumser


                                       3
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/ Roger D. Blackwell
                                        ----------------------------------------
                                        Roger D. Blackwell


                                       4
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/ Tony C. Canonie, Jr.
                                        ----------------------------------------
                                        Tony C. Canonie, Jr.


                                       5
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/ Russell M. Gertmenian
                                        ----------------------------------------
                                        Russell M. Gertmenian


                                       6
<PAGE>

                                POWER OF ATTORNEY

KNOW ALL MEN BY THESE PRESENTS, that the undersigned officer and/or director of
AirNet Systems, Inc., an Ohio Corporation (the "Company"), which is about to
file with the Securities and Exchange Commission, Washington, D.C., under the
provisions of the Securities Exchange Act of 1934, as amended, the Annual Report
on Form 10-K for the fiscal year ended December 31, 1998, hereby constitutes and
appoints Gerald G. Mercer and William R. Sumser as his true and lawful
attorneys-in-fact and agents, with full power of substitution and
resubstitution, for him and in his name, place and stead, in any and all
capacities, to sign both the Annual Report on Form 10-K and any and all
amendments and documents related thereto, and to file the same, with any and all
exhibits, financial statements and schedules related thereto, and other
documents in connection therewith, with the Securities and Exchange Commission
and the New York Stock Exchange, and grants unto each of said attorneys-in-fact
and agents, and substitute or substitutes, full power and authority to do and
perform each and every act and thing requisite and necessary to be done in and
about the premises, as fully to all intents and purposes as he might or could do
in person and thereby ratifies and confirms all things that each of the said
attorneys-in-fact and agents, or their substitute or substitutes, may lawfully
do or cause to be done by virtue hereof.

IN WITNESS WHEREOF, the undersigned has hereunto set his hand as of this __th
day of March, 1999.

                                        /s/ J. F. Keeler, Jr.
                                        ----------------------------------------
                                        J. F. Keeler, Jr.


                                       7