Final answer:
A frog leaping vertically into the air with no air resistance will experience constant acceleration due to gravity, rather than maintaining a uniform velocity. Its motion is one-dimensional, with a constant acceleration of 9.8 m/s² downwards.
Step-by-step explanation:
When a frog leaps vertically into the air and encounters no appreciable air resistance, it is important to examine the characteristics of its motion. Since there is no horizontal displacement, the motion is one-dimensional. Given that the frog is influenced only by gravity after leaping, the frog will experience a constant acceleration downwards due to gravity (9.8 m/s2), but this does not mean its velocity is constant. The frog's ascent slows down until it reaches the peak of its jump, where its velocity is momentarily zero before it starts accelerating downwards on the descent. Hence, the correct statement about the frog's motion is C. It accelerates continuously, since gravity exerts a constant force on the frog both upward and downward through its motion. Additionally, we can also relate to a position vs. time graph of one-dimensional motion involving gravity, where the acceleration does not change (the gradient stays constant), signifying constant or uniform acceleration.