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A simple model of quintessential inflation with the modified exponentialpotential exp(-\alpha \phi) [A + (\phi-\phi_0)^2] is analyzed in the braneworldcontext. Considering reheating via instant preheating, it is shown that theevolution of the scalar field \phi from inflation to the present epoch isconsistent with the observational constraints in a wide region of the parameterspace. The model exhibits transient acceleration at late times for 0.96 < A\alpha^2 < 1.26 and 271 < \phi_0 \alpha < 273, while permanent acceleration isobtained for 2.3 10^{-8} < A \alpha^2 < 0.98 and 255 < \phi_0 \alpha < 273. Thesteep parameter \alpha is constrained to be in the range 5.3 < \alpha < 10.8.

Brane assisted quintessential inflation with transient acceleration