Question

lebron james starts his car and accelerates to a velocity of 55mph. if his acceleration is 13m/s^2, how long did it take to reach this velocity? place the number in the first box (do include the negative symbol if needed and use three decimal places) and the units in the second box *hint use google to convert miles per hour (mph) into meters per second (m/s) in order to calculate time in seconds

Explanation:

Step1: Convert MPH to m/s

We use the conversion factor: $1\ \text{MPH} = \frac{1609.34}{3600}\ \text{m/s}$.
For $55\ \text{MPH}$:
$$v = 55 \times \frac{1609.34}{3600} \approx 24.587\ \text{m/s}$$

Step2: Solve for time using $a=\frac{v}{t}$

Rearrange to $t=\frac{v}{a}$, where $a=13\ \text{m/s}^2$.
$$t = \frac{24.587}{13} \approx 1.891$$

Answer:

1.891
seconds