Question

at the top of the roller coaster track, a roller coasters velocity is 10 m/s. two seconds later, the coaster reaches the bottom of the track with a velocity of 26 m/s. what is the acceleration of the coaster?

Explanation:

Step1: Identificar los valores dados

Velocidad inicial \( v_{0} = 10\,\text{m/s} \), velocidad final \( v = 26\,\text{m/s} \), tiempo \( t = 2\,\text{s} \)

Step2: Aplicar la fórmula de aceleración

La fórmula de aceleración es \( a=\frac{v - v_{0}}{t} \). Sustituyendo los valores: \( a=\frac{26 - 10}{2} \)

Step3: Realizar el cálculo

\( a=\frac{16}{2}=8\,\text{m/s}^2 \)

Answer:

\( 8\,\text{m/s}^2 \)