A controller for a vehicle, the vehicle including an engine, drive wheels (64R, 64L), and an automatic clutch and a transmission interposed in a power transmission route between the engine and the drive wheels (64R, 64L), the controller comprising an electronic control unit configured to: i) control torque transmitted between the engine and the transmission; ii) determine at least one of whether a first absolute value is at least equal to a first threshold and whether a second absolute value is at least equal to a second threshold; the first absolute value being an absolute value of rotational acceleration of an input shaft of the transmission, and the second absolute value being an absolute value of rotational acceleration of the drive wheels (64R, 64L); and iii) control torque capacity of the automatic clutch such that the automatic clutch is brought into a slipping state, when the electronic control unit determines that at least one of the first absolute value and the second absolute value is at least equal to an corresponding threshold. the vehicle including an engine, drive wheels (64R, 64L), and an automatic clutch and a transmission interposed in a power transmission route between the engine and the drive wheels (64R, 64L), an engine, drive wheels (64R, 64L), and an automatic clutch and a transmission interposed in a power transmission route between the engine and the drive wheels (64R, 64L), the controller comprising an electronic control unit configured to: i) control torque transmitted between the engine and the transmission; ii) determine at least one of whether a first absolute value is at least equal to a first threshold and whether a second absolute value is at least equal to a second threshold; the first absolute value being an absolute value of rotational acceleration of an input shaft of the transmission, and the second absolute value being an absolute value of rotational acceleration of the drive wheels (64R, 64L); and iii) control torque capacity of the automatic clutch such that the automatic clutch is brought into a slipping state, when the electronic control unit determines that at least one of the first absolute value and the second absolute value is at least equal to an corresponding threshold. an electronic control unit configured to: i) control torque transmitted between the engine and the transmission; ii) determine at least one of whether a first absolute value is at least equal to a first threshold and whether a second absolute value is at least equal to a second threshold; i) control torque transmitted between the engine and the transmission; ii) determine at least one of whether a first absolute value is at least equal to a first threshold and whether a second absolute value is at least equal to a second threshold; the first absolute value being an absolute value of rotational acceleration of an input shaft of the transmission, and the second absolute value being an absolute value of rotational acceleration of the drive wheels (64R, 64L); and iii) control torque capacity of the automatic clutch such that the automatic clutch is brought into a slipping state, when the electronic control unit determines that at least one of the first absolute value and the second absolute value is at least equal to an corresponding threshold. iii) control torque capacity of the automatic clutch such that the automatic clutch is brought into a slipping state, when the electronic control unit determines that at least one of the first absolute value and the second absolute value is at least equal to an corresponding threshold.