Final answer:
Amariz's velocity is calculated using the kinetic energy formula and her mass, which is equivalent to her weight on Earth. The answer is obtained by plugging the values into the rearranged formula and performing the calculation.
Step-by-step explanation:
To find Amariz's velocity as she runs downhill, knowing her weight and kinetic energy, we use the kinetic energy formula KE = ½mv². Rearranging the formula to solve for velocity, v, gives us v = √(2KE/m). Plugging in Amariz's weight as her mass (since on Earth's surface, weight is effectively mass due to gravity), and her kinetic energy, we get v = √(2 × 450 J / 25 kg). After performing the calculation, we round the answer to the nearest whole number to find the velocity.