Question

1. a cyclist named carly daugherty accelerates from 0 m/s to 8 m/s in 3 seconds. what is her acceleration? is this acceleration higher than that of soul trains car, which accelerates from 0 to 30 m/s in 8 seconds? how do you know?

Explanation:

Step1: Calculate cyclist's acceleration

Use the formula $a=\frac{v - u}{t}$, where $u = 0\ m/s$, $v = 8\ m/s$, $t = 3\ s$. So $a_{1}=\frac{8 - 0}{3}=\frac{8}{3}\ m/s^{2}\approx2.67\ m/s^{2}$.

Step2: Calculate car's acceleration

Use the formula $a=\frac{v - u}{t}$, where $u = 0\ m/s$, $v = 30\ m/s$, $t = 8\ s$. So $a_{2}=\frac{30 - 0}{8}=\frac{15}{4}= 3.75\ m/s^{2}$.

Step3: Compare accelerations

Since $3.75>2.67$, the car's acceleration is higher.

Answer:

Carly Daugherty's acceleration is $\frac{8}{3}\ m/s^{2}\approx2.67\ m/s^{2}$. Soul Train's car acceleration is $3.75\ m/s^{2}$. The car's acceleration is higher.